Finding the Third Proportional to 164,694 and 359,508

Step by Step Solution

1. Step 1: Write the proportion equation
   164,694 : 359,508 = 359,508 : x
2. Step 2: Convert to fraction form
   164,694/359,508 = 359,508/x
3. Step 3: Cross multiply
   164,694x = 359,508 × 359,508
4. Step 4: Simplify right side
   164,694x = 129,246,002,064
5. Step 5: Solve for x
   x = 129,246,002,064/164,694
6. Step 6: Final answer
   x = 784,764.48