Finding the Third Proportional to 59,280 and 127,632

Step by Step Solution

1. Step 1: Write the proportion equation
   59,280 : 127,632 = 127,632 : x
2. Step 2: Convert to fraction form
   59,280/127,632 = 127,632/x
3. Step 3: Cross multiply
   59,280x = 127,632 × 127,632
4. Step 4: Simplify right side
   59,280x = 16,289,927,424
5. Step 5: Solve for x
   x = 16,289,927,424/59,280
6. Step 6: Final answer
   x = 274,796.35