Finding the Third Proportional to 51,900 and 80,076

Step by Step Solution

1. Step 1: Write the proportion equation
   51,900 : 80,076 = 80,076 : x
2. Step 2: Convert to fraction form
   51,900/80,076 = 80,076/x
3. Step 3: Cross multiply
   51,900x = 80,076 × 80,076
4. Step 4: Simplify right side
   51,900x = 6,412,165,776
5. Step 5: Solve for x
   x = 6,412,165,776/51,900
6. Step 6: Final answer
   x = 123,548.47