Finding the Third Proportional to 123,357.75 and 256,412

Step by Step Solution

1. Step 1: Write the proportion equation
   123,357.75 : 256,412 = 256,412 : x
2. Step 2: Convert to fraction form
   123,357.75/256,412 = 256,412/x
3. Step 3: Cross multiply
   123,357.75x = 256,412 × 256,412
4. Step 4: Simplify right side
   123,357.75x = 65,747,113,744
5. Step 5: Solve for x
   x = 65,747,113,744/123,357.75
6. Step 6: Final answer
   x = 532,979.19