Finding the Third Proportional to 52,096 and 80,786

Step by Step Solution

1. Step 1: Write the proportion equation
   52,096 : 80,786 = 80,786 : x
2. Step 2: Convert to fraction form
   52,096/80,786 = 80,786/x
3. Step 3: Cross multiply
   52,096x = 80,786 × 80,786
4. Step 4: Simplify right side
   52,096x = 6,526,377,796
5. Step 5: Solve for x
   x = 6,526,377,796/52,096
6. Step 6: Final answer
   x = 125,275.99