Finding the Third Proportional to 191.25 and 294.63

Step by Step Solution

1. Step 1: Write the proportion equation
   191.25 : 294.63 = 294.63 : x
2. Step 2: Convert to fraction form
   191.25/294.63 = 294.63/x
3. Step 3: Cross multiply
   191.25x = 294.63 × 294.63
4. Step 4: Simplify right side
   191.25x = 86,803.89
5. Step 5: Solve for x
   x = 86,803.89/191.25
6. Step 6: Final answer
   x = 453.88