Finding the Third Proportional to 164,762 and 359,728

Step by Step Solution

1. Step 1: Write the proportion equation
   164,762 : 359,728 = 359,728 : x
2. Step 2: Convert to fraction form
   164,762/359,728 = 359,728/x
3. Step 3: Cross multiply
   164,762x = 359,728 × 359,728
4. Step 4: Simplify right side
   164,762x = 129,404,233,984
5. Step 5: Solve for x
   x = 129,404,233,984/164,762
6. Step 6: Final answer
   x = 785,400.97