Finding the Third Proportional to 112,540 and 175,722

Step by Step Solution

1. Step 1: Write the proportion equation
   112,540 : 175,722 = 175,722 : x
2. Step 2: Convert to fraction form
   112,540/175,722 = 175,722/x
3. Step 3: Cross multiply
   112,540x = 175,722 × 175,722
4. Step 4: Simplify right side
   112,540x = 30,878,221,284
5. Step 5: Solve for x
   x = 30,878,221,284/112,540
6. Step 6: Final answer
   x = 274,375.52