Finding the Third Proportional to 88.75 and 194.12

Step by Step Solution

1. Step 1: Write the proportion equation
   88.75 : 194.12 = 194.12 : x
2. Step 2: Convert to fraction form
   88.75/194.12 = 194.12/x
3. Step 3: Cross multiply
   88.75x = 194.12 × 194.12
4. Step 4: Simplify right side
   88.75x = 37,680.72
5. Step 5: Solve for x
   x = 37,680.72/88.75
6. Step 6: Final answer
   x = 424.56