Finding the Third Proportional to 205,516 and 314,105

Step by Step Solution

1. Step 1: Write the proportion equation
   205,516 : 314,105 = 314,105 : x
2. Step 2: Convert to fraction form
   205,516/314,105 = 314,105/x
3. Step 3: Cross multiply
   205,516x = 314,105 × 314,105
4. Step 4: Simplify right side
   205,516x = 98,661,951,025
5. Step 5: Solve for x
   x = 98,661,951,025/205,516
6. Step 6: Final answer
   x = 480,069.44