Finding the Third Proportional to 111,180 and 172,413

Step by Step Solution

1. Step 1: Write the proportion equation
   111,180 : 172,413 = 172,413 : x
2. Step 2: Convert to fraction form
   111,180/172,413 = 172,413/x
3. Step 3: Cross multiply
   111,180x = 172,413 × 172,413
4. Step 4: Simplify right side
   111,180x = 29,726,242,569
5. Step 5: Solve for x
   x = 29,726,242,569/111,180
6. Step 6: Final answer
   x = 267,370.41