Finding the Third Proportional to 364.72 and 560.59

Step by Step Solution

1. Step 1: Write the proportion equation
   364.72 : 560.59 = 560.59 : x
2. Step 2: Convert to fraction form
   364.72/560.59 = 560.59/x
3. Step 3: Cross multiply
   364.72x = 560.59 × 560.59
4. Step 4: Simplify right side
   364.72x = 314,265.35
5. Step 5: Solve for x
   x = 314,265.35/364.72
6. Step 6: Final answer
   x = 861.66