Finding the Third Proportional to 111,380 and 172,726

Step by Step Solution

1. Step 1: Write the proportion equation
   111,380 : 172,726 = 172,726 : x
2. Step 2: Convert to fraction form
   111,380/172,726 = 172,726/x
3. Step 3: Cross multiply
   111,380x = 172,726 × 172,726
4. Step 4: Simplify right side
   111,380x = 29,834,271,076
5. Step 5: Solve for x
   x = 29,834,271,076/111,380
6. Step 6: Final answer
   x = 267,860.22