Finding the Third Proportional to 123.16 and 285.06

Step by Step Solution

1. Step 1: Write the proportion equation
   123.16 : 285.06 = 285.06 : x
2. Step 2: Convert to fraction form
   123.16/285.06 = 285.06/x
3. Step 3: Cross multiply
   123.16x = 285.06 × 285.06
4. Step 4: Simplify right side
   123.16x = 81,260.63
5. Step 5: Solve for x
   x = 81,260.63/123.16
6. Step 6: Final answer
   x = 659.82