Finding the Third Proportional to 102,570 and 215,507

Step by Step Solution

1. Step 1: Write the proportion equation
   102,570 : 215,507 = 215,507 : x
2. Step 2: Convert to fraction form
   102,570/215,507 = 215,507/x
3. Step 3: Cross multiply
   102,570x = 215,507 × 215,507
4. Step 4: Simplify right side
   102,570x = 46,443,267,049
5. Step 5: Solve for x
   x = 46,443,267,049/102,570
6. Step 6: Final answer
   x = 452,795.82