Finding the Third Proportional to 123,216 and 250,898

Step by Step Solution

1. Step 1: Write the proportion equation
   123,216 : 250,898 = 250,898 : x
2. Step 2: Convert to fraction form
   123,216/250,898 = 250,898/x
3. Step 3: Cross multiply
   123,216x = 250,898 × 250,898
4. Step 4: Simplify right side
   123,216x = 62,949,806,404
5. Step 5: Solve for x
   x = 62,949,806,404/123,216
6. Step 6: Final answer
   x = 510,889.87