Finding the Third Proportional to 164,736 and 359,040

Step by Step Solution

1. Step 1: Write the proportion equation
   164,736 : 359,040 = 359,040 : x
2. Step 2: Convert to fraction form
   164,736/359,040 = 359,040/x
3. Step 3: Cross multiply
   164,736x = 359,040 × 359,040
4. Step 4: Simplify right side
   164,736x = 128,909,721,600
5. Step 5: Solve for x
   x = 128,909,721,600/164,736
6. Step 6: Final answer
   x = 782,523.08