Finding the Third Proportional to 102,565 and 215,494

Step by Step Solution

1. Step 1: Write the proportion equation
   102,565 : 215,494 = 215,494 : x
2. Step 2: Convert to fraction form
   102,565/215,494 = 215,494/x
3. Step 3: Cross multiply
   102,565x = 215,494 × 215,494
4. Step 4: Simplify right side
   102,565x = 46,437,664,036
5. Step 5: Solve for x
   x = 46,437,664,036/102,565
6. Step 6: Final answer
   x = 452,763.26