Finding the Third Proportional to 77,022 and 165,503.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,022 : 165,503.25 = 165,503.25 : x
2. Step 2: Convert to fraction form
   77,022/165,503.25 = 165,503.25/x
3. Step 3: Cross multiply
   77,022x = 165,503.25 × 165,503.25
4. Step 4: Simplify right side
   77,022x = 27,391,325,760.56
5. Step 5: Solve for x
   x = 27,391,325,760.56/77,022
6. Step 6: Final answer
   x = 355,629.89