Finding the Third Proportional to 290.46 and 410.06

Step by Step Solution

1. Step 1: Write the proportion equation
   290.46 : 410.06 = 410.06 : x
2. Step 2: Convert to fraction form
   290.46/410.06 = 410.06/x
3. Step 3: Cross multiply
   290.46x = 410.06 × 410.06
4. Step 4: Simplify right side
   290.46x = 168,151.25
5. Step 5: Solve for x
   x = 168,151.25/290.46
6. Step 6: Final answer
   x = 578.91