Finding the Third Proportional to 196.59 and 475.88

Step by Step Solution

1. Step 1: Write the proportion equation
   196.59 : 475.88 = 475.88 : x
2. Step 2: Convert to fraction form
   196.59/475.88 = 475.88/x
3. Step 3: Cross multiply
   196.59x = 475.88 × 475.88
4. Step 4: Simplify right side
   196.59x = 226,457.02
5. Step 5: Solve for x
   x = 226,457.02/196.59
6. Step 6: Final answer
   x = 1,151.90