Finding the Third Proportional to 56.88 and 140.69

Step by Step Solution

1. Step 1: Write the proportion equation
   56.88 : 140.69 = 140.69 : x
2. Step 2: Convert to fraction form
   56.88/140.69 = 140.69/x
3. Step 3: Cross multiply
   56.88x = 140.69 × 140.69
4. Step 4: Simplify right side
   56.88x = 19,792.97
5. Step 5: Solve for x
   x = 19,792.97/56.88
6. Step 6: Final answer
   x = 348.01