Finding the Third Proportional to 40,498 and 88,380

Step by Step Solution

1. Step 1: Write the proportion equation
   40,498 : 88,380 = 88,380 : x
2. Step 2: Convert to fraction form
   40,498/88,380 = 88,380/x
3. Step 3: Cross multiply
   40,498x = 88,380 × 88,380
4. Step 4: Simplify right side
   40,498x = 7,811,024,400
5. Step 5: Solve for x
   x = 7,811,024,400/40,498
6. Step 6: Final answer
   x = 192,874.32