Finding the Third Proportional to 111,440 and 172,632

Step by Step Solution

1. Step 1: Write the proportion equation
   111,440 : 172,632 = 172,632 : x
2. Step 2: Convert to fraction form
   111,440/172,632 = 172,632/x
3. Step 3: Cross multiply
   111,440x = 172,632 × 172,632
4. Step 4: Simplify right side
   111,440x = 29,801,807,424
5. Step 5: Solve for x
   x = 29,801,807,424/111,440
6. Step 6: Final answer
   x = 267,424.69