Finding the Third Proportional to 463,819 and 661,492

Step by Step Solution

1. Step 1: Write the proportion equation
   463,819 : 661,492 = 661,492 : x
2. Step 2: Convert to fraction form
   463,819/661,492 = 661,492/x
3. Step 3: Cross multiply
   463,819x = 661,492 × 661,492
4. Step 4: Simplify right side
   463,819x = 437,571,666,064
5. Step 5: Solve for x
   x = 437,571,666,064/463,819
6. Step 6: Final answer
   x = 943,410.40