Finding the Third Proportional to 114,885 and 165,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,885 : 165,469.50 = 165,469.50 : x
2. Step 2: Convert to fraction form
   114,885/165,469.50 = 165,469.50/x
3. Step 3: Cross multiply
   114,885x = 165,469.50 × 165,469.50
4. Step 4: Simplify right side
   114,885x = 27,380,155,430.25
5. Step 5: Solve for x
   x = 27,380,155,430.25/114,885
6. Step 6: Final answer
   x = 238,326.63