Finding the Third Proportional to 191.25 and 374.63

Step by Step Solution

1. Step 1: Write the proportion equation
   191.25 : 374.63 = 374.63 : x
2. Step 2: Convert to fraction form
   191.25/374.63 = 374.63/x
3. Step 3: Cross multiply
   191.25x = 374.63 × 374.63
4. Step 4: Simplify right side
   191.25x = 140,343.89
5. Step 5: Solve for x
   x = 140,343.89/191.25
6. Step 6: Final answer
   x = 733.82