Finding the Third Proportional to 164,738 and 359,044

Step by Step Solution

1. Step 1: Write the proportion equation
   164,738 : 359,044 = 359,044 : x
2. Step 2: Convert to fraction form
   164,738/359,044 = 359,044/x
3. Step 3: Cross multiply
   164,738x = 359,044 × 359,044
4. Step 4: Simplify right side
   164,738x = 128,912,593,936
5. Step 5: Solve for x
   x = 128,912,593,936/164,738
6. Step 6: Final answer
   x = 782,531.01