Finding the Third Proportional to 111,300 and 172,447

Step by Step Solution

1. Step 1: Write the proportion equation
   111,300 : 172,447 = 172,447 : x
2. Step 2: Convert to fraction form
   111,300/172,447 = 172,447/x
3. Step 3: Cross multiply
   111,300x = 172,447 × 172,447
4. Step 4: Simplify right side
   111,300x = 29,737,967,809
5. Step 5: Solve for x
   x = 29,737,967,809/111,300
6. Step 6: Final answer
   x = 267,187.49