Finding the Third Proportional to 122,949 and 189,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,949 : 189,067.50 = 189,067.50 : x
2. Step 2: Convert to fraction form
   122,949/189,067.50 = 189,067.50/x
3. Step 3: Cross multiply
   122,949x = 189,067.50 × 189,067.50
4. Step 4: Simplify right side
   122,949x = 35,746,519,556.25
5. Step 5: Solve for x
   x = 35,746,519,556.25/122,949
6. Step 6: Final answer
   x = 290,742.66