Finding the Third Proportional to 111,218 and 172,358

Step by Step Solution

1. Step 1: Write the proportion equation
   111,218 : 172,358 = 172,358 : x
2. Step 2: Convert to fraction form
   111,218/172,358 = 172,358/x
3. Step 3: Cross multiply
   111,218x = 172,358 × 172,358
4. Step 4: Simplify right side
   111,218x = 29,707,280,164
5. Step 5: Solve for x
   x = 29,707,280,164/111,218
6. Step 6: Final answer
   x = 267,108.56