Finding the Third Proportional to 111,460 and 172,779

Step by Step Solution

1. Step 1: Write the proportion equation
   111,460 : 172,779 = 172,779 : x
2. Step 2: Convert to fraction form
   111,460/172,779 = 172,779/x
3. Step 3: Cross multiply
   111,460x = 172,779 × 172,779
4. Step 4: Simplify right side
   111,460x = 29,852,582,841
5. Step 5: Solve for x
   x = 29,852,582,841/111,460
6. Step 6: Final answer
   x = 267,832.25