Finding the Third Proportional to 202,836 and 315,309.75

Step by Step Solution

1. Step 1: Write the proportion equation
   202,836 : 315,309.75 = 315,309.75 : x
2. Step 2: Convert to fraction form
   202,836/315,309.75 = 315,309.75/x
3. Step 3: Cross multiply
   202,836x = 315,309.75 × 315,309.75
4. Step 4: Simplify right side
   202,836x = 99,420,238,445.06
5. Step 5: Solve for x
   x = 99,420,238,445.06/202,836
6. Step 6: Final answer
   x = 490,150.85