Finding the Third Proportional to 233,864 and 342,042

Step by Step Solution

1. Step 1: Write the proportion equation
   233,864 : 342,042 = 342,042 : x
2. Step 2: Convert to fraction form
   233,864/342,042 = 342,042/x
3. Step 3: Cross multiply
   233,864x = 342,042 × 342,042
4. Step 4: Simplify right side
   233,864x = 116,992,729,764
5. Step 5: Solve for x
   x = 116,992,729,764/233,864
6. Step 6: Final answer
   x = 500,259.68