Finding the Third Proportional to 59,772 and 130,077

Step by Step Solution

1. Step 1: Write the proportion equation
   59,772 : 130,077 = 130,077 : x
2. Step 2: Convert to fraction form
   59,772/130,077 = 130,077/x
3. Step 3: Cross multiply
   59,772x = 130,077 × 130,077
4. Step 4: Simplify right side
   59,772x = 16,920,025,929
5. Step 5: Solve for x
   x = 16,920,025,929/59,772
6. Step 6: Final answer
   x = 283,076.12