Finding the Third Proportional to 123.87 and 256.29

Step by Step Solution

1. Step 1: Write the proportion equation
   123.87 : 256.29 = 256.29 : x
2. Step 2: Convert to fraction form
   123.87/256.29 = 256.29/x
3. Step 3: Cross multiply
   123.87x = 256.29 × 256.29
4. Step 4: Simplify right side
   123.87x = 65,684.08
5. Step 5: Solve for x
   x = 65,684.08/123.87
6. Step 6: Final answer
   x = 530.25