Finding the Third Proportional to 233,856 and 342,036

Step by Step Solution

1. Step 1: Write the proportion equation
   233,856 : 342,036 = 342,036 : x
2. Step 2: Convert to fraction form
   233,856/342,036 = 342,036/x
3. Step 3: Cross multiply
   233,856x = 342,036 × 342,036
4. Step 4: Simplify right side
   233,856x = 116,988,625,296
5. Step 5: Solve for x
   x = 116,988,625,296/233,856
6. Step 6: Final answer
   x = 500,259.24