Finding the Third Proportional to 149,774,669,044.50 and 320,756,136,900.75

Step by Step Solution

1. Step 1: Write the proportion equation
   149,774,669,044.50 : 320,756,136,900.75 = 320,756,136,900.75 : x
2. Step 2: Convert to fraction form
   149,774,669,044.50/320,756,136,900.75 = 320,756,136,900.75/x
3. Step 3: Cross multiply
   149,774,669,044.50x = 320,756,136,900.75 × 320,756,136,900.75
4. Step 4: Simplify right side
   149,774,669,044.50x = 102,884,499,359,492,672,061,440
5. Step 5: Solve for x
   x = 102,884,499,359,492,672,061,440/149,774,669,044.50
6. Step 6: Final answer
   x = 686,928,570,871.52