Finding the Third Proportional to 52,092 and 80,780

Step by Step Solution

1. Step 1: Write the proportion equation
   52,092 : 80,780 = 80,780 : x
2. Step 2: Convert to fraction form
   52,092/80,780 = 80,780/x
3. Step 3: Cross multiply
   52,092x = 80,780 × 80,780
4. Step 4: Simplify right side
   52,092x = 6,525,408,400
5. Step 5: Solve for x
   x = 6,525,408,400/52,092
6. Step 6: Final answer
   x = 125,267.00