Finding the Third Proportional to 78,298.50 and 126,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,298.50 : 126,067.50 = 126,067.50 : x
2. Step 2: Convert to fraction form
   78,298.50/126,067.50 = 126,067.50/x
3. Step 3: Cross multiply
   78,298.50x = 126,067.50 × 126,067.50
4. Step 4: Simplify right side
   78,298.50x = 15,893,014,556.25
5. Step 5: Solve for x
   x = 15,893,014,556.25/78,298.50
6. Step 6: Final answer
   x = 202,979.81