Finding the Third Proportional to 107,022 and 165,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,022 : 165,943.50 = 165,943.50 : x
2. Step 2: Convert to fraction form
   107,022/165,943.50 = 165,943.50/x
3. Step 3: Cross multiply
   107,022x = 165,943.50 × 165,943.50
4. Step 4: Simplify right side
   107,022x = 27,537,245,192.25
5. Step 5: Solve for x
   x = 27,537,245,192.25/107,022
6. Step 6: Final answer
   x = 257,304.53