Finding the Third Proportional to 123,496.50 and 256,682.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,496.50 : 256,682.25 = 256,682.25 : x
2. Step 2: Convert to fraction form
   123,496.50/256,682.25 = 256,682.25/x
3. Step 3: Cross multiply
   123,496.50x = 256,682.25 × 256,682.25
4. Step 4: Simplify right side
   123,496.50x = 65,885,777,465.06
5. Step 5: Solve for x
   x = 65,885,777,465.06/123,496.50
6. Step 6: Final answer
   x = 533,503.20