Finding the Third Proportional to 102,567 and 215,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,567 : 215,500.50 = 215,500.50 : x
2. Step 2: Convert to fraction form
   102,567/215,500.50 = 215,500.50/x
3. Step 3: Cross multiply
   102,567x = 215,500.50 × 215,500.50
4. Step 4: Simplify right side
   102,567x = 46,440,465,500.25
5. Step 5: Solve for x
   x = 46,440,465,500.25/102,567
6. Step 6: Final answer
   x = 452,781.75