Finding the Third Proportional to 72,854 and 112,514

Step by Step Solution

1. Step 1: Write the proportion equation
   72,854 : 112,514 = 112,514 : x
2. Step 2: Convert to fraction form
   72,854/112,514 = 112,514/x
3. Step 3: Cross multiply
   72,854x = 112,514 × 112,514
4. Step 4: Simplify right side
   72,854x = 12,659,400,196
5. Step 5: Solve for x
   x = 12,659,400,196/72,854
6. Step 6: Final answer
   x = 173,763.97