Finding the Third Proportional to 123,516 and 252,856

Step by Step Solution

1. Step 1: Write the proportion equation
   123,516 : 252,856 = 252,856 : x
2. Step 2: Convert to fraction form
   123,516/252,856 = 252,856/x
3. Step 3: Cross multiply
   123,516x = 252,856 × 252,856
4. Step 4: Simplify right side
   123,516x = 63,936,156,736
5. Step 5: Solve for x
   x = 63,936,156,736/123,516
6. Step 6: Final answer
   x = 517,634.61