Finding the Third Proportional to 40,514 and 88,292

Step by Step Solution

1. Step 1: Write the proportion equation
   40,514 : 88,292 = 88,292 : x
2. Step 2: Convert to fraction form
   40,514/88,292 = 88,292/x
3. Step 3: Cross multiply
   40,514x = 88,292 × 88,292
4. Step 4: Simplify right side
   40,514x = 7,795,477,264
5. Step 5: Solve for x
   x = 7,795,477,264/40,514
6. Step 6: Final answer
   x = 192,414.41