Finding the Third Proportional to 194.59 and 411.01

Step by Step Solution

1. Step 1: Write the proportion equation
   194.59 : 411.01 = 411.01 : x
2. Step 2: Convert to fraction form
   194.59/411.01 = 411.01/x
3. Step 3: Cross multiply
   194.59x = 411.01 × 411.01
4. Step 4: Simplify right side
   194.59x = 168,930.63
5. Step 5: Solve for x
   x = 168,930.63/194.59
6. Step 6: Final answer
   x = 868.14