Finding the Third Proportional to 342.38 and 514.88

Step by Step Solution

1. Step 1: Write the proportion equation
   342.38 : 514.88 = 514.88 : x
2. Step 2: Convert to fraction form
   342.38/514.88 = 514.88/x
3. Step 3: Cross multiply
   342.38x = 514.88 × 514.88
4. Step 4: Simplify right side
   342.38x = 265,096.27
5. Step 5: Solve for x
   x = 265,096.27/342.38
6. Step 6: Final answer
   x = 774.29