Finding the Third Proportional to 202,875 and 315,370.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,875 : 315,370.50 = 315,370.50 : x
2. Step 2: Convert to fraction form
   202,875/315,370.50 = 315,370.50/x
3. Step 3: Cross multiply
   202,875x = 315,370.50 × 315,370.50
4. Step 4: Simplify right side
   202,875x = 99,458,552,270.25
5. Step 5: Solve for x
   x = 99,458,552,270.25/202,875
6. Step 6: Final answer
   x = 490,245.48