Finding the Third Proportional to 345.56 and 714.56

Step by Step Solution

1. Step 1: Write the proportion equation
   345.56 : 714.56 = 714.56 : x
2. Step 2: Convert to fraction form
   345.56/714.56 = 714.56/x
3. Step 3: Cross multiply
   345.56x = 714.56 × 714.56
4. Step 4: Simplify right side
   345.56x = 510,599.57
5. Step 5: Solve for x
   x = 510,599.57/345.56
6. Step 6: Final answer
   x = 1,477.59