Finding the Third Proportional to 164,222 and 355,434

Step by Step Solution

1. Step 1: Write the proportion equation
   164,222 : 355,434 = 355,434 : x
2. Step 2: Convert to fraction form
   164,222/355,434 = 355,434/x
3. Step 3: Cross multiply
   164,222x = 355,434 × 355,434
4. Step 4: Simplify right side
   164,222x = 126,333,328,356
5. Step 5: Solve for x
   x = 126,333,328,356/164,222
6. Step 6: Final answer
   x = 769,283.83