Finding the Third Proportional to 379.31 and 566.06

Step by Step Solution

1. Step 1: Write the proportion equation
   379.31 : 566.06 = 566.06 : x
2. Step 2: Convert to fraction form
   379.31/566.06 = 566.06/x
3. Step 3: Cross multiply
   379.31x = 566.06 × 566.06
4. Step 4: Simplify right side
   379.31x = 320,426.75
5. Step 5: Solve for x
   x = 320,426.75/379.31
6. Step 6: Final answer
   x = 844.76