Finding the Third Proportional to 111,411 and 172,665

Step by Step Solution

1. Step 1: Write the proportion equation
   111,411 : 172,665 = 172,665 : x
2. Step 2: Convert to fraction form
   111,411/172,665 = 172,665/x
3. Step 3: Cross multiply
   111,411x = 172,665 × 172,665
4. Step 4: Simplify right side
   111,411x = 29,813,202,225
5. Step 5: Solve for x
   x = 29,813,202,225/111,411
6. Step 6: Final answer
   x = 267,596.58