Finding the Third Proportional to 106,950.38 and 165,528.56

Step by Step Solution

1. Step 1: Write the proportion equation
   106,950.38 : 165,528.56 = 165,528.56 : x
2. Step 2: Convert to fraction form
   106,950.38/165,528.56 = 165,528.56/x
3. Step 3: Cross multiply
   106,950.38x = 165,528.56 × 165,528.56
4. Step 4: Simplify right side
   106,950.38x = 27,399,705,003.32
5. Step 5: Solve for x
   x = 27,399,705,003.32/106,950.38
6. Step 6: Final answer
   x = 256,190.83