Finding the Third Proportional to 51,218 and 80,166

Step by Step Solution

1. Step 1: Write the proportion equation
   51,218 : 80,166 = 80,166 : x
2. Step 2: Convert to fraction form
   51,218/80,166 = 80,166/x
3. Step 3: Cross multiply
   51,218x = 80,166 × 80,166
4. Step 4: Simplify right side
   51,218x = 6,426,587,556
5. Step 5: Solve for x
   x = 6,426,587,556/51,218
6. Step 6: Final answer
   x = 125,475.18