Finding the Third Proportional to 102,577 and 215,520

Step by Step Solution

1. Step 1: Write the proportion equation
   102,577 : 215,520 = 215,520 : x
2. Step 2: Convert to fraction form
   102,577/215,520 = 215,520/x
3. Step 3: Cross multiply
   102,577x = 215,520 × 215,520
4. Step 4: Simplify right side
   102,577x = 46,448,870,400
5. Step 5: Solve for x
   x = 46,448,870,400/102,577
6. Step 6: Final answer
   x = 452,819.54