Finding the Third Proportional to 342.56 and 462.59

Step by Step Solution

1. Step 1: Write the proportion equation
   342.56 : 462.59 = 462.59 : x
2. Step 2: Convert to fraction form
   342.56/462.59 = 462.59/x
3. Step 3: Cross multiply
   342.56x = 462.59 × 462.59
4. Step 4: Simplify right side
   342.56x = 213,985.75
5. Step 5: Solve for x
   x = 213,985.75/342.56
6. Step 6: Final answer
   x = 624.66