Finding the Third Proportional to 40,084 and 88,360

Step by Step Solution

1. Step 1: Write the proportion equation
   40,084 : 88,360 = 88,360 : x
2. Step 2: Convert to fraction form
   40,084/88,360 = 88,360/x
3. Step 3: Cross multiply
   40,084x = 88,360 × 88,360
4. Step 4: Simplify right side
   40,084x = 7,807,489,600
5. Step 5: Solve for x
   x = 7,807,489,600/40,084
6. Step 6: Final answer
   x = 194,778.21