Finding the Third Proportional to 345.83 and 513.53

Step by Step Solution

1. Step 1: Write the proportion equation
   345.83 : 513.53 = 513.53 : x
2. Step 2: Convert to fraction form
   345.83/513.53 = 513.53/x
3. Step 3: Cross multiply
   345.83x = 513.53 × 513.53
4. Step 4: Simplify right side
   345.83x = 263,710.33
5. Step 5: Solve for x
   x = 263,710.33/345.83
6. Step 6: Final answer
   x = 762.54