Finding the Third Proportional to 459,506 and 686,499

Step by Step Solution

1. Step 1: Write the proportion equation
   459,506 : 686,499 = 686,499 : x
2. Step 2: Convert to fraction form
   459,506/686,499 = 686,499/x
3. Step 3: Cross multiply
   459,506x = 686,499 × 686,499
4. Step 4: Simplify right side
   459,506x = 471,280,877,001
5. Step 5: Solve for x
   x = 471,280,877,001/459,506
6. Step 6: Final answer
   x = 1,025,625.08