Finding the Third Proportional to 346.78 and 532.83

Step by Step Solution

1. Step 1: Write the proportion equation
   346.78 : 532.83 = 532.83 : x
2. Step 2: Convert to fraction form
   346.78/532.83 = 532.83/x
3. Step 3: Cross multiply
   346.78x = 532.83 × 532.83
4. Step 4: Simplify right side
   346.78x = 283,905.81
5. Step 5: Solve for x
   x = 283,905.81/346.78
6. Step 6: Final answer
   x = 818.69