Finding the Third Proportional to 379.69 and 572.06

Step by Step Solution

1. Step 1: Write the proportion equation
   379.69 : 572.06 = 572.06 : x
2. Step 2: Convert to fraction form
   379.69/572.06 = 572.06/x
3. Step 3: Cross multiply
   379.69x = 572.06 × 572.06
4. Step 4: Simplify right side
   379.69x = 327,255.50
5. Step 5: Solve for x
   x = 327,255.50/379.69
6. Step 6: Final answer
   x = 861.91