Finding the Third Proportional to 374.77 and 561.89

Step by Step Solution

1. Step 1: Write the proportion equation
   374.77 : 561.89 = 561.89 : x
2. Step 2: Convert to fraction form
   374.77/561.89 = 561.89/x
3. Step 3: Cross multiply
   374.77x = 561.89 × 561.89
4. Step 4: Simplify right side
   374.77x = 315,721.07
5. Step 5: Solve for x
   x = 315,721.07/374.77
6. Step 6: Final answer
   x = 842.45