Finding the Third Proportional to 164,760 and 359,724

Step by Step Solution

1. Step 1: Write the proportion equation
   164,760 : 359,724 = 359,724 : x
2. Step 2: Convert to fraction form
   164,760/359,724 = 359,724/x
3. Step 3: Cross multiply
   164,760x = 359,724 × 359,724
4. Step 4: Simplify right side
   164,760x = 129,401,356,176
5. Step 5: Solve for x
   x = 129,401,356,176/164,760
6. Step 6: Final answer
   x = 785,393.03