Finding the Third Proportional to 157.78 and 341.72

Step by Step Solution

1. Step 1: Write the proportion equation
   157.78 : 341.72 = 341.72 : x
2. Step 2: Convert to fraction form
   157.78/341.72 = 341.72/x
3. Step 3: Cross multiply
   157.78x = 341.72 × 341.72
4. Step 4: Simplify right side
   157.78x = 116,771.70
5. Step 5: Solve for x
   x = 116,771.70/157.78
6. Step 6: Final answer
   x = 740.09