Finding the Third Proportional to 131,802 and 204,257.25

Step by Step Solution

1. Step 1: Write the proportion equation
   131,802 : 204,257.25 = 204,257.25 : x
2. Step 2: Convert to fraction form
   131,802/204,257.25 = 204,257.25/x
3. Step 3: Cross multiply
   131,802x = 204,257.25 × 204,257.25
4. Step 4: Simplify right side
   131,802x = 41,721,024,177.56
5. Step 5: Solve for x
   x = 41,721,024,177.56/131,802
6. Step 6: Final answer
   x = 316,543.18