Finding the Third Proportional to 205,676.72 and 317,844

Step by Step Solution

1. Step 1: Write the proportion equation
   205,676.72 : 317,844 = 317,844 : x
2. Step 2: Convert to fraction form
   205,676.72/317,844 = 317,844/x
3. Step 3: Cross multiply
   205,676.72x = 317,844 × 317,844
4. Step 4: Simplify right side
   205,676.72x = 101,024,808,336
5. Step 5: Solve for x
   x = 101,024,808,336/205,676.72
6. Step 6: Final answer
   x = 491,182.52