Finding the Third Proportional to 59,386 and 130,676

Step by Step Solution

1. Step 1: Write the proportion equation
   59,386 : 130,676 = 130,676 : x
2. Step 2: Convert to fraction form
   59,386/130,676 = 130,676/x
3. Step 3: Cross multiply
   59,386x = 130,676 × 130,676
4. Step 4: Simplify right side
   59,386x = 17,076,216,976
5. Step 5: Solve for x
   x = 17,076,216,976/59,386
6. Step 6: Final answer
   x = 287,546.17