Finding the Third Proportional to 131,814 and 204,275.25

Step by Step Solution

1. Step 1: Write the proportion equation
   131,814 : 204,275.25 = 204,275.25 : x
2. Step 2: Convert to fraction form
   131,814/204,275.25 = 204,275.25/x
3. Step 3: Cross multiply
   131,814x = 204,275.25 × 204,275.25
4. Step 4: Simplify right side
   131,814x = 41,728,377,762.56
5. Step 5: Solve for x
   x = 41,728,377,762.56/131,814
6. Step 6: Final answer
   x = 316,570.15