Finding the Third Proportional to 59,680 and 131,780

Step by Step Solution

1. Step 1: Write the proportion equation
   59,680 : 131,780 = 131,780 : x
2. Step 2: Convert to fraction form
   59,680/131,780 = 131,780/x
3. Step 3: Cross multiply
   59,680x = 131,780 × 131,780
4. Step 4: Simplify right side
   59,680x = 17,365,968,400
5. Step 5: Solve for x
   x = 17,365,968,400/59,680
6. Step 6: Final answer
   x = 290,984.73