Finding the Third Proportional to 111,231 and 172,377

Step by Step Solution

1. Step 1: Write the proportion equation
   111,231 : 172,377 = 172,377 : x
2. Step 2: Convert to fraction form
   111,231/172,377 = 172,377/x
3. Step 3: Cross multiply
   111,231x = 172,377 × 172,377
4. Step 4: Simplify right side
   111,231x = 29,713,830,129
5. Step 5: Solve for x
   x = 29,713,830,129/111,231
6. Step 6: Final answer
   x = 267,136.23