Finding the Third Proportional to 345.52 and 493.59

Step by Step Solution

1. Step 1: Write the proportion equation
   345.52 : 493.59 = 493.59 : x
2. Step 2: Convert to fraction form
   345.52/493.59 = 493.59/x
3. Step 3: Cross multiply
   345.52x = 493.59 × 493.59
4. Step 4: Simplify right side
   345.52x = 243,634.79
5. Step 5: Solve for x
   x = 243,634.79/345.52
6. Step 6: Final answer
   x = 705.13