Finding the Third Proportional to 356.91 and 537.89

Step by Step Solution

1. Step 1: Write the proportion equation
   356.91 : 537.89 = 537.89 : x
2. Step 2: Convert to fraction form
   356.91/537.89 = 537.89/x
3. Step 3: Cross multiply
   356.91x = 537.89 × 537.89
4. Step 4: Simplify right side
   356.91x = 289,326.32
5. Step 5: Solve for x
   x = 289,326.32/356.91
6. Step 6: Final answer
   x = 810.65