Finding the Third Proportional to 164,818 and 359,012

Step by Step Solution

1. Step 1: Write the proportion equation
   164,818 : 359,012 = 359,012 : x
2. Step 2: Convert to fraction form
   164,818/359,012 = 359,012/x
3. Step 3: Cross multiply
   164,818x = 359,012 × 359,012
4. Step 4: Simplify right side
   164,818x = 128,889,616,144
5. Step 5: Solve for x
   x = 128,889,616,144/164,818
6. Step 6: Final answer
   x = 782,011.77