Finding the Third Proportional to 250.59 and 598.01

Step by Step Solution

1. Step 1: Write the proportion equation
   250.59 : 598.01 = 598.01 : x
2. Step 2: Convert to fraction form
   250.59/598.01 = 598.01/x
3. Step 3: Cross multiply
   250.59x = 598.01 × 598.01
4. Step 4: Simplify right side
   250.59x = 357,613.34
5. Step 5: Solve for x
   x = 357,613.34/250.59
6. Step 6: Final answer
   x = 1,427.06