Finding the Third Proportional to 52,078 and 80,764

Step by Step Solution

1. Step 1: Write the proportion equation
   52,078 : 80,764 = 80,764 : x
2. Step 2: Convert to fraction form
   52,078/80,764 = 80,764/x
3. Step 3: Cross multiply
   52,078x = 80,764 × 80,764
4. Step 4: Simplify right side
   52,078x = 6,522,823,696
5. Step 5: Solve for x
   x = 6,522,823,696/52,078
6. Step 6: Final answer
   x = 125,251.04