Finding the Third Proportional to 233,424 and 341,856

Step by Step Solution

1. Step 1: Write the proportion equation
   233,424 : 341,856 = 341,856 : x
2. Step 2: Convert to fraction form
   233,424/341,856 = 341,856/x
3. Step 3: Cross multiply
   233,424x = 341,856 × 341,856
4. Step 4: Simplify right side
   233,424x = 116,865,524,736
5. Step 5: Solve for x
   x = 116,865,524,736/233,424
6. Step 6: Final answer
   x = 500,657.71