Finding the Third Proportional to 164,820 and 359,016

Step by Step Solution

1. Step 1: Write the proportion equation
   164,820 : 359,016 = 359,016 : x
2. Step 2: Convert to fraction form
   164,820/359,016 = 359,016/x
3. Step 3: Cross multiply
   164,820x = 359,016 × 359,016
4. Step 4: Simplify right side
   164,820x = 128,892,488,256
5. Step 5: Solve for x
   x = 128,892,488,256/164,820
6. Step 6: Final answer
   x = 782,019.71