Finding the Third Proportional to 205,594.50 and 317,730

Step by Step Solution

1. Step 1: Write the proportion equation
   205,594.50 : 317,730 = 317,730 : x
2. Step 2: Convert to fraction form
   205,594.50/317,730 = 317,730/x
3. Step 3: Cross multiply
   205,594.50x = 317,730 × 317,730
4. Step 4: Simplify right side
   205,594.50x = 100,952,352,900
5. Step 5: Solve for x
   x = 100,952,352,900/205,594.50
6. Step 6: Final answer
   x = 491,026.53