Finding the Third Proportional to 202,905 and 315,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   202,905 : 315,409.50 = 315,409.50 : x
2. Step 2: Convert to fraction form
   202,905/315,409.50 = 315,409.50/x
3. Step 3: Cross multiply
   202,905x = 315,409.50 × 315,409.50
4. Step 4: Simplify right side
   202,905x = 99,483,152,690.25
5. Step 5: Solve for x
   x = 99,483,152,690.25/202,905
6. Step 6: Final answer
   x = 490,294.24