Finding the Third Proportional to 202,917 and 315,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,917 : 315,427.50 = 315,427.50 : x
2. Step 2: Convert to fraction form
   202,917/315,427.50 = 315,427.50/x
3. Step 3: Cross multiply
   202,917x = 315,427.50 × 315,427.50
4. Step 4: Simplify right side
   202,917x = 99,494,507,756.25
5. Step 5: Solve for x
   x = 99,494,507,756.25/202,917
6. Step 6: Final answer
   x = 490,321.20