Finding the Third Proportional to 175.84 and 404.72

Step by Step Solution

1. Step 1: Write the proportion equation
   175.84 : 404.72 = 404.72 : x
2. Step 2: Convert to fraction form
   175.84/404.72 = 404.72/x
3. Step 3: Cross multiply
   175.84x = 404.72 × 404.72
4. Step 4: Simplify right side
   175.84x = 163,800.82
5. Step 5: Solve for x
   x = 163,800.82/175.84
6. Step 6: Final answer
   x = 931.52