Finding the Third Proportional to 51,080 and 78,892

Step by Step Solution

1. Step 1: Write the proportion equation
   51,080 : 78,892 = 78,892 : x
2. Step 2: Convert to fraction form
   51,080/78,892 = 78,892/x
3. Step 3: Cross multiply
   51,080x = 78,892 × 78,892
4. Step 4: Simplify right side
   51,080x = 6,223,947,664
5. Step 5: Solve for x
   x = 6,223,947,664/51,080
6. Step 6: Final answer
   x = 121,847.06