Finding the Third Proportional to 345.56 and 742.88

Step by Step Solution

1. Step 1: Write the proportion equation
   345.56 : 742.88 = 742.88 : x
2. Step 2: Convert to fraction form
   345.56/742.88 = 742.88/x
3. Step 3: Cross multiply
   345.56x = 742.88 × 742.88
4. Step 4: Simplify right side
   345.56x = 551,863.27
5. Step 5: Solve for x
   x = 551,863.27/345.56
6. Step 6: Final answer
   x = 1,597.00