Finding the Third Proportional to 59,280 and 130,560

Step by Step Solution

1. Step 1: Write the proportion equation
   59,280 : 130,560 = 130,560 : x
2. Step 2: Convert to fraction form
   59,280/130,560 = 130,560/x
3. Step 3: Cross multiply
   59,280x = 130,560 × 130,560
4. Step 4: Simplify right side
   59,280x = 17,045,913,600
5. Step 5: Solve for x
   x = 17,045,913,600/59,280
6. Step 6: Final answer
   x = 287,549.15