Finding the Third Proportional to 59,769 and 130,052

Step by Step Solution

1. Step 1: Write the proportion equation
   59,769 : 130,052 = 130,052 : x
2. Step 2: Convert to fraction form
   59,769/130,052 = 130,052/x
3. Step 3: Cross multiply
   59,769x = 130,052 × 130,052
4. Step 4: Simplify right side
   59,769x = 16,913,522,704
5. Step 5: Solve for x
   x = 16,913,522,704/59,769
6. Step 6: Final answer
   x = 282,981.52