Finding the Third Proportional to 83,758.50 and 131,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,758.50 : 131,105.25 = 131,105.25 : x
2. Step 2: Convert to fraction form
   83,758.50/131,105.25 = 131,105.25/x
3. Step 3: Cross multiply
   83,758.50x = 131,105.25 × 131,105.25
4. Step 4: Simplify right side
   83,758.50x = 17,188,586,577.56
5. Step 5: Solve for x
   x = 17,188,586,577.56/83,758.50
6. Step 6: Final answer
   x = 205,216.03