Finding the Third Proportional to 137.50 and 298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137.50 : 298.50 = 298.50 : x
2. Step 2: Convert to fraction form
   137.50/298.50 = 298.50/x
3. Step 3: Cross multiply
   137.50x = 298.50 × 298.50
4. Step 4: Simplify right side
   137.50x = 89,102.25
5. Step 5: Solve for x
   x = 89,102.25/137.50
6. Step 6: Final answer
   x = 648.02