Finding the Third Proportional to 342.88 and 742.72

Step by Step Solution

1. Step 1: Write the proportion equation
   342.88 : 742.72 = 742.72 : x
2. Step 2: Convert to fraction form
   342.88/742.72 = 742.72/x
3. Step 3: Cross multiply
   342.88x = 742.72 × 742.72
4. Step 4: Simplify right side
   342.88x = 551,631.14
5. Step 5: Solve for x
   x = 551,631.14/342.88
6. Step 6: Final answer
   x = 1,608.84