Finding the Third Proportional to 164,816 and 359,008

Step by Step Solution

1. Step 1: Write the proportion equation
   164,816 : 359,008 = 359,008 : x
2. Step 2: Convert to fraction form
   164,816/359,008 = 359,008/x
3. Step 3: Cross multiply
   164,816x = 359,008 × 359,008
4. Step 4: Simplify right side
   164,816x = 128,886,744,064
5. Step 5: Solve for x
   x = 128,886,744,064/164,816
6. Step 6: Final answer
   x = 782,003.83