Finding the Third Proportional to 202,861 and 315,773.75

Step by Step Solution

1. Step 1: Write the proportion equation
   202,861 : 315,773.75 = 315,773.75 : x
2. Step 2: Convert to fraction form
   202,861/315,773.75 = 315,773.75/x
3. Step 3: Cross multiply
   202,861x = 315,773.75 × 315,773.75
4. Step 4: Simplify right side
   202,861x = 99,713,061,189.06
5. Step 5: Solve for x
   x = 99,713,061,189.06/202,861
6. Step 6: Final answer
   x = 491,533.91