Finding the Third Proportional to 362 and 561.69

Step by Step Solution

1. Step 1: Write the proportion equation
   362 : 561.69 = 561.69 : x
2. Step 2: Convert to fraction form
   362/561.69 = 561.69/x
3. Step 3: Cross multiply
   362x = 561.69 × 561.69
4. Step 4: Simplify right side
   362x = 315,492.85
5. Step 5: Solve for x
   x = 315,492.85/362
6. Step 6: Final answer
   x = 871.53