Finding the Third Proportional to 123,496.50 and 256,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,496.50 : 256,684.50 = 256,684.50 : x
2. Step 2: Convert to fraction form
   123,496.50/256,684.50 = 256,684.50/x
3. Step 3: Cross multiply
   123,496.50x = 256,684.50 × 256,684.50
4. Step 4: Simplify right side
   123,496.50x = 65,886,932,540.25
5. Step 5: Solve for x
   x = 65,886,932,540.25/123,496.50
6. Step 6: Final answer
   x = 533,512.55