Finding the Third Proportional to 153.77 and 329.38

Step by Step Solution

1. Step 1: Write the proportion equation
   153.77 : 329.38 = 329.38 : x
2. Step 2: Convert to fraction form
   153.77/329.38 = 329.38/x
3. Step 3: Cross multiply
   153.77x = 329.38 × 329.38
4. Step 4: Simplify right side
   153.77x = 108,490.46
5. Step 5: Solve for x
   x = 108,490.46/153.77
6. Step 6: Final answer
   x = 705.52