Finding the Third Proportional to 291.50 and 566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   291.50 : 566.50 = 566.50 : x
2. Step 2: Convert to fraction form
   291.50/566.50 = 566.50/x
3. Step 3: Cross multiply
   291.50x = 566.50 × 566.50
4. Step 4: Simplify right side
   291.50x = 320,922.25
5. Step 5: Solve for x
   x = 320,922.25/291.50
6. Step 6: Final answer
   x = 1,100.93