Finding the Third Proportional to 123,363.56 and 256,420.69

Step by Step Solution

1. Step 1: Write the proportion equation
   123,363.56 : 256,420.69 = 256,420.69 : x
2. Step 2: Convert to fraction form
   123,363.56/256,420.69 = 256,420.69/x
3. Step 3: Cross multiply
   123,363.56x = 256,420.69 × 256,420.69
4. Step 4: Simplify right side
   123,363.56x = 65,751,568,977.97
5. Step 5: Solve for x
   x = 65,751,568,977.97/123,363.56
6. Step 6: Final answer
   x = 532,990.19