Finding the Third Proportional to 442.50 and 561.94

Step by Step Solution

1. Step 1: Write the proportion equation
   442.50 : 561.94 = 561.94 : x
2. Step 2: Convert to fraction form
   442.50/561.94 = 561.94/x
3. Step 3: Cross multiply
   442.50x = 561.94 × 561.94
4. Step 4: Simplify right side
   442.50x = 315,773.75
5. Step 5: Solve for x
   x = 315,773.75/442.50
6. Step 6: Final answer
   x = 713.61