Finding the Third Proportional to 114,650.50 and 165,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,650.50 : 165,139.50 = 165,139.50 : x
2. Step 2: Convert to fraction form
   114,650.50/165,139.50 = 165,139.50/x
3. Step 3: Cross multiply
   114,650.50x = 165,139.50 × 165,139.50
4. Step 4: Simplify right side
   114,650.50x = 27,271,054,460.25
5. Step 5: Solve for x
   x = 27,271,054,460.25/114,650.50
6. Step 6: Final answer
   x = 237,862.50