Finding the Third Proportional to 115,944 and 165,410.75

Step by Step Solution

1. Step 1: Write the proportion equation
   115,944 : 165,410.75 = 165,410.75 : x
2. Step 2: Convert to fraction form
   115,944/165,410.75 = 165,410.75/x
3. Step 3: Cross multiply
   115,944x = 165,410.75 × 165,410.75
4. Step 4: Simplify right side
   115,944x = 27,360,716,215.56
5. Step 5: Solve for x
   x = 27,360,716,215.56/115,944
6. Step 6: Final answer
   x = 235,982.17