Finding the Third Proportional to 196.17 and 461.32

Step by Step Solution

1. Step 1: Write the proportion equation
   196.17 : 461.32 = 461.32 : x
2. Step 2: Convert to fraction form
   196.17/461.32 = 461.32/x
3. Step 3: Cross multiply
   196.17x = 461.32 × 461.32
4. Step 4: Simplify right side
   196.17x = 212,816.43
5. Step 5: Solve for x
   x = 212,816.43/196.17
6. Step 6: Final answer
   x = 1,084.85