Finding the Third Proportional to 123,218 and 259,316

Step by Step Solution

1. Step 1: Write the proportion equation
   123,218 : 259,316 = 259,316 : x
2. Step 2: Convert to fraction form
   123,218/259,316 = 259,316/x
3. Step 3: Cross multiply
   123,218x = 259,316 × 259,316
4. Step 4: Simplify right side
   123,218x = 67,244,787,856
5. Step 5: Solve for x
   x = 67,244,787,856/123,218
6. Step 6: Final answer
   x = 545,738.35