Finding the Third Proportional to 462,632 and 690,109

Step by Step Solution

1. Step 1: Write the proportion equation
   462,632 : 690,109 = 690,109 : x
2. Step 2: Convert to fraction form
   462,632/690,109 = 690,109/x
3. Step 3: Cross multiply
   462,632x = 690,109 × 690,109
4. Step 4: Simplify right side
   462,632x = 476,250,431,881
5. Step 5: Solve for x
   x = 476,250,431,881/462,632
6. Step 6: Final answer
   x = 1,029,436.86