Finding the Third Proportional to 359.61 and 575.45

Step by Step Solution

1. Step 1: Write the proportion equation
   359.61 : 575.45 = 575.45 : x
2. Step 2: Convert to fraction form
   359.61/575.45 = 575.45/x
3. Step 3: Cross multiply
   359.61x = 575.45 × 575.45
4. Step 4: Simplify right side
   359.61x = 331,141.59
5. Step 5: Solve for x
   x = 331,141.59/359.61
6. Step 6: Final answer
   x = 920.85