Finding the Third Proportional to 149,774,669,046 and 320,756,136,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,774,669,046 : 320,756,136,904.50 = 320,756,136,904.50 : x
2. Step 2: Convert to fraction form
   149,774,669,046/320,756,136,904.50 = 320,756,136,904.50/x
3. Step 3: Cross multiply
   149,774,669,046x = 320,756,136,904.50 × 320,756,136,904.50
4. Step 4: Simplify right side
   149,774,669,046x = 102,884,499,361,898,340,286,464
5. Step 5: Solve for x
   x = 102,884,499,361,898,340,286,464/149,774,669,046
6. Step 6: Final answer
   x = 686,928,570,880.70