Finding the Third Proportional to 100.50 and 185

Step by Step Solution

1. Step 1: Write the proportion equation
   100.50 : 185 = 185 : x
2. Step 2: Convert to fraction form
   100.50/185 = 185/x
3. Step 3: Cross multiply
   100.50x = 185 × 185
4. Step 4: Simplify right side
   100.50x = 34,225
5. Step 5: Solve for x
   x = 34,225/100.50
6. Step 6: Final answer
   x = 340.55