Finding the Third Proportional to 397.50 and 601.88

Step by Step Solution

1. Step 1: Write the proportion equation
   397.50 : 601.88 = 601.88 : x
2. Step 2: Convert to fraction form
   397.50/601.88 = 601.88/x
3. Step 3: Cross multiply
   397.50x = 601.88 × 601.88
4. Step 4: Simplify right side
   397.50x = 362,253.52
5. Step 5: Solve for x
   x = 362,253.52/397.50
6. Step 6: Final answer
   x = 911.33