Finding the Third Proportional to 175.92 and 356.59

Step by Step Solution

1. Step 1: Write the proportion equation
   175.92 : 356.59 = 356.59 : x
2. Step 2: Convert to fraction form
   175.92/356.59 = 356.59/x
3. Step 3: Cross multiply
   175.92x = 356.59 × 356.59
4. Step 4: Simplify right side
   175.92x = 127,156.32
5. Step 5: Solve for x
   x = 127,156.32/175.92
6. Step 6: Final answer
   x = 722.80