Finding the Third Proportional to 106,534 and 159,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,534 : 159,067.50 = 159,067.50 : x
2. Step 2: Convert to fraction form
   106,534/159,067.50 = 159,067.50/x
3. Step 3: Cross multiply
   106,534x = 159,067.50 × 159,067.50
4. Step 4: Simplify right side
   106,534x = 25,302,469,556.25
5. Step 5: Solve for x
   x = 25,302,469,556.25/106,534
6. Step 6: Final answer
   x = 237,506.05