Finding the Third Proportional to 103,926 and 222,067.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,926 : 222,067.50 = 222,067.50 : x
2. Step 2: Convert to fraction form
   103,926/222,067.50 = 222,067.50/x
3. Step 3: Cross multiply
   103,926x = 222,067.50 × 222,067.50
4. Step 4: Simplify right side
   103,926x = 49,313,974,556.25
5. Step 5: Solve for x
   x = 49,313,974,556.25/103,926
6. Step 6: Final answer
   x = 474,510.46