Finding the Third Proportional to 462,642.50 and 690,114

Step by Step Solution

1. Step 1: Write the proportion equation
   462,642.50 : 690,114 = 690,114 : x
2. Step 2: Convert to fraction form
   462,642.50/690,114 = 690,114/x
3. Step 3: Cross multiply
   462,642.50x = 690,114 × 690,114
4. Step 4: Simplify right side
   462,642.50x = 476,257,332,996
5. Step 5: Solve for x
   x = 476,257,332,996/462,642.50
6. Step 6: Final answer
   x = 1,029,428.41