Finding the Third Proportional to 83,022 and 131,255

Step by Step Solution

1. Step 1: Write the proportion equation
   83,022 : 131,255 = 131,255 : x
2. Step 2: Convert to fraction form
   83,022/131,255 = 131,255/x
3. Step 3: Cross multiply
   83,022x = 131,255 × 131,255
4. Step 4: Simplify right side
   83,022x = 17,227,875,025
5. Step 5: Solve for x
   x = 17,227,875,025/83,022
6. Step 6: Final answer
   x = 207,509.76