Finding the Third Proportional to 164,819 and 359,014

Step by Step Solution

1. Step 1: Write the proportion equation
   164,819 : 359,014 = 359,014 : x
2. Step 2: Convert to fraction form
   164,819/359,014 = 359,014/x
3. Step 3: Cross multiply
   164,819x = 359,014 × 359,014
4. Step 4: Simplify right side
   164,819x = 128,891,052,196
5. Step 5: Solve for x
   x = 128,891,052,196/164,819
6. Step 6: Final answer
   x = 782,015.74