Finding the Third Proportional to 202,844 and 315,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,844 : 315,323.50 = 315,323.50 : x
2. Step 2: Convert to fraction form
   202,844/315,323.50 = 315,323.50/x
3. Step 3: Cross multiply
   202,844x = 315,323.50 × 315,323.50
4. Step 4: Simplify right side
   202,844x = 99,428,909,652.25
5. Step 5: Solve for x
   x = 99,428,909,652.25/202,844
6. Step 6: Final answer
   x = 490,174.27