Finding the Third Proportional to 40,500 and 88,269

Step by Step Solution

1. Step 1: Write the proportion equation
   40,500 : 88,269 = 88,269 : x
2. Step 2: Convert to fraction form
   40,500/88,269 = 88,269/x
3. Step 3: Cross multiply
   40,500x = 88,269 × 88,269
4. Step 4: Simplify right side
   40,500x = 7,791,416,361
5. Step 5: Solve for x
   x = 7,791,416,361/40,500
6. Step 6: Final answer
   x = 192,380.65