Finding the Third Proportional to 52,111 and 80,741

Step by Step Solution

1. Step 1: Write the proportion equation
   52,111 : 80,741 = 80,741 : x
2. Step 2: Convert to fraction form
   52,111/80,741 = 80,741/x
3. Step 3: Cross multiply
   52,111x = 80,741 × 80,741
4. Step 4: Simplify right side
   52,111x = 6,519,109,081
5. Step 5: Solve for x
   x = 6,519,109,081/52,111
6. Step 6: Final answer
   x = 125,100.44