Finding the Third Proportional to 40,920 and 88,284

Step by Step Solution

1. Step 1: Write the proportion equation
   40,920 : 88,284 = 88,284 : x
2. Step 2: Convert to fraction form
   40,920/88,284 = 88,284/x
3. Step 3: Cross multiply
   40,920x = 88,284 × 88,284
4. Step 4: Simplify right side
   40,920x = 7,794,064,656
5. Step 5: Solve for x
   x = 7,794,064,656/40,920
6. Step 6: Final answer
   x = 190,470.79