Finding the Third Proportional to 40,422 and 88,782

Step by Step Solution

1. Step 1: Write the proportion equation
   40,422 : 88,782 = 88,782 : x
2. Step 2: Convert to fraction form
   40,422/88,782 = 88,782/x
3. Step 3: Cross multiply
   40,422x = 88,782 × 88,782
4. Step 4: Simplify right side
   40,422x = 7,882,243,524
5. Step 5: Solve for x
   x = 7,882,243,524/40,422
6. Step 6: Final answer
   x = 194,998.85