Finding the Third Proportional to 202,689 and 317,952.75

Step by Step Solution

1. Step 1: Write the proportion equation
   202,689 : 317,952.75 = 317,952.75 : x
2. Step 2: Convert to fraction form
   202,689/317,952.75 = 317,952.75/x
3. Step 3: Cross multiply
   202,689x = 317,952.75 × 317,952.75
4. Step 4: Simplify right side
   202,689x = 101,093,951,232.56
5. Step 5: Solve for x
   x = 101,093,951,232.56/202,689
6. Step 6: Final answer
   x = 498,763.88