Finding the Third Proportional to 131,626.50 and 192,503.25

Step by Step Solution

1. Step 1: Write the proportion equation
   131,626.50 : 192,503.25 = 192,503.25 : x
2. Step 2: Convert to fraction form
   131,626.50/192,503.25 = 192,503.25/x
3. Step 3: Cross multiply
   131,626.50x = 192,503.25 × 192,503.25
4. Step 4: Simplify right side
   131,626.50x = 37,057,501,260.56
5. Step 5: Solve for x
   x = 37,057,501,260.56/131,626.50
6. Step 6: Final answer
   x = 281,535.26