Finding the Third Proportional to 202,864.50 and 311,141.25

Step by Step Solution

1. Step 1: Write the proportion equation
   202,864.50 : 311,141.25 = 311,141.25 : x
2. Step 2: Convert to fraction form
   202,864.50/311,141.25 = 311,141.25/x
3. Step 3: Cross multiply
   202,864.50x = 311,141.25 × 311,141.25
4. Step 4: Simplify right side
   202,864.50x = 96,808,877,451.56
5. Step 5: Solve for x
   x = 96,808,877,451.56/202,864.50
6. Step 6: Final answer
   x = 477,209.55