Finding the Third Proportional to 196.50 and 468.75

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 468.75 = 468.75 : x
2. Step 2: Convert to fraction form
   196.50/468.75 = 468.75/x
3. Step 3: Cross multiply
   196.50x = 468.75 × 468.75
4. Step 4: Simplify right side
   196.50x = 219,726.56
5. Step 5: Solve for x
   x = 219,726.56/196.50
6. Step 6: Final answer
   x = 1,118.20