Finding the Third Proportional to 46.50 and 90.88

Step by Step Solution

1. Step 1: Write the proportion equation
   46.50 : 90.88 = 90.88 : x
2. Step 2: Convert to fraction form
   46.50/90.88 = 90.88/x
3. Step 3: Cross multiply
   46.50x = 90.88 × 90.88
4. Step 4: Simplify right side
   46.50x = 8,258.27
5. Step 5: Solve for x
   x = 8,258.27/46.50
6. Step 6: Final answer
   x = 177.60