Finding the Third Proportional to 191.25 and 397.88

Step by Step Solution

1. Step 1: Write the proportion equation
   191.25 : 397.88 = 397.88 : x
2. Step 2: Convert to fraction form
   191.25/397.88 = 397.88/x
3. Step 3: Cross multiply
   191.25x = 397.88 × 397.88
4. Step 4: Simplify right side
   191.25x = 158,304.52
5. Step 5: Solve for x
   x = 158,304.52/191.25
6. Step 6: Final answer
   x = 827.74