Finding the Third Proportional to 392.34 and 537.89

Step by Step Solution

1. Step 1: Write the proportion equation
   392.34 : 537.89 = 537.89 : x
2. Step 2: Convert to fraction form
   392.34/537.89 = 537.89/x
3. Step 3: Cross multiply
   392.34x = 537.89 × 537.89
4. Step 4: Simplify right side
   392.34x = 289,326.32
5. Step 5: Solve for x
   x = 289,326.32/392.34
6. Step 6: Final answer
   x = 737.43