Finding the Third Proportional to 40,228 and 83,524

Step by Step Solution

1. Step 1: Write the proportion equation
   40,228 : 83,524 = 83,524 : x
2. Step 2: Convert to fraction form
   40,228/83,524 = 83,524/x
3. Step 3: Cross multiply
   40,228x = 83,524 × 83,524
4. Step 4: Simplify right side
   40,228x = 6,976,258,576
5. Step 5: Solve for x
   x = 6,976,258,576/40,228
6. Step 6: Final answer
   x = 173,417.98