Finding the Third Proportional to 507.38 and 601.88

Step by Step Solution

1. Step 1: Write the proportion equation
   507.38 : 601.88 = 601.88 : x
2. Step 2: Convert to fraction form
   507.38/601.88 = 601.88/x
3. Step 3: Cross multiply
   507.38x = 601.88 × 601.88
4. Step 4: Simplify right side
   507.38x = 362,253.52
5. Step 5: Solve for x
   x = 362,253.52/507.38
6. Step 6: Final answer
   x = 713.98