Finding the Third Proportional to 204,474 and 310,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,474 : 310,389.50 = 310,389.50 : x
2. Step 2: Convert to fraction form
   204,474/310,389.50 = 310,389.50/x
3. Step 3: Cross multiply
   204,474x = 310,389.50 × 310,389.50
4. Step 4: Simplify right side
   204,474x = 96,341,641,710.25
5. Step 5: Solve for x
   x = 96,341,641,710.25/204,474
6. Step 6: Final answer
   x = 471,168.18