Finding the Third Proportional to 459,601 and 686,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   459,601 : 686,620.50 = 686,620.50 : x
2. Step 2: Convert to fraction form
   459,601/686,620.50 = 686,620.50/x
3. Step 3: Cross multiply
   459,601x = 686,620.50 × 686,620.50
4. Step 4: Simplify right side
   459,601x = 471,447,711,020.25
5. Step 5: Solve for x
   x = 471,447,711,020.25/459,601
6. Step 6: Final answer
   x = 1,025,776.08