Finding the Third Proportional to 111,402 and 172,581

Step by Step Solution

1. Step 1: Write the proportion equation
   111,402 : 172,581 = 172,581 : x
2. Step 2: Convert to fraction form
   111,402/172,581 = 172,581/x
3. Step 3: Cross multiply
   111,402x = 172,581 × 172,581
4. Step 4: Simplify right side
   111,402x = 29,784,201,561
5. Step 5: Solve for x
   x = 29,784,201,561/111,402
6. Step 6: Final answer
   x = 267,357.87