Finding the Third Proportional to 52,022 and 80,506

Step by Step Solution

1. Step 1: Write the proportion equation
   52,022 : 80,506 = 80,506 : x
2. Step 2: Convert to fraction form
   52,022/80,506 = 80,506/x
3. Step 3: Cross multiply
   52,022x = 80,506 × 80,506
4. Step 4: Simplify right side
   52,022x = 6,481,216,036
5. Step 5: Solve for x
   x = 6,481,216,036/52,022
6. Step 6: Final answer
   x = 124,586.06