Finding the Third Proportional to 59,786 and 131,560

Step by Step Solution

1. Step 1: Write the proportion equation
   59,786 : 131,560 = 131,560 : x
2. Step 2: Convert to fraction form
   59,786/131,560 = 131,560/x
3. Step 3: Cross multiply
   59,786x = 131,560 × 131,560
4. Step 4: Simplify right side
   59,786x = 17,308,033,600
5. Step 5: Solve for x
   x = 17,308,033,600/59,786
6. Step 6: Final answer
   x = 289,499.78