Finding the Third Proportional to 77,280 and 117,540

Step by Step Solution

1. Step 1: Write the proportion equation
   77,280 : 117,540 = 117,540 : x
2. Step 2: Convert to fraction form
   77,280/117,540 = 117,540/x
3. Step 3: Cross multiply
   77,280x = 117,540 × 117,540
4. Step 4: Simplify right side
   77,280x = 13,815,651,600
5. Step 5: Solve for x
   x = 13,815,651,600/77,280
6. Step 6: Final answer
   x = 178,773.96