Finding the Third Proportional to 111,233 and 172,380

Step by Step Solution

1. Step 1: Write the proportion equation
   111,233 : 172,380 = 172,380 : x
2. Step 2: Convert to fraction form
   111,233/172,380 = 172,380/x
3. Step 3: Cross multiply
   111,233x = 172,380 × 172,380
4. Step 4: Simplify right side
   111,233x = 29,714,864,400
5. Step 5: Solve for x
   x = 29,714,864,400/111,233
6. Step 6: Final answer
   x = 267,140.73