Finding the Third Proportional to 111,140 and 172,352

Step by Step Solution

1. Step 1: Write the proportion equation
   111,140 : 172,352 = 172,352 : x
2. Step 2: Convert to fraction form
   111,140/172,352 = 172,352/x
3. Step 3: Cross multiply
   111,140x = 172,352 × 172,352
4. Step 4: Simplify right side
   111,140x = 29,705,211,904
5. Step 5: Solve for x
   x = 29,705,211,904/111,140
6. Step 6: Final answer
   x = 267,277.42