Finding the Third Proportional to 164,778 and 359,760

Step by Step Solution

1. Step 1: Write the proportion equation
   164,778 : 359,760 = 359,760 : x
2. Step 2: Convert to fraction form
   164,778/359,760 = 359,760/x
3. Step 3: Cross multiply
   164,778x = 359,760 × 359,760
4. Step 4: Simplify right side
   164,778x = 129,427,257,600
5. Step 5: Solve for x
   x = 129,427,257,600/164,778
6. Step 6: Final answer
   x = 785,464.43