Finding the Third Proportional to 88.43 and 194.86

Step by Step Solution

1. Step 1: Write the proportion equation
   88.43 : 194.86 = 194.86 : x
2. Step 2: Convert to fraction form
   88.43/194.86 = 194.86/x
3. Step 3: Cross multiply
   88.43x = 194.86 × 194.86
4. Step 4: Simplify right side
   88.43x = 37,970.18
5. Step 5: Solve for x
   x = 37,970.18/88.43
6. Step 6: Final answer
   x = 429.38