Finding the Third Proportional to 138,648 and 283,867.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,648 : 283,867.50 = 283,867.50 : x
2. Step 2: Convert to fraction form
   138,648/283,867.50 = 283,867.50/x
3. Step 3: Cross multiply
   138,648x = 283,867.50 × 283,867.50
4. Step 4: Simplify right side
   138,648x = 80,580,757,556.25
5. Step 5: Solve for x
   x = 80,580,757,556.25/138,648
6. Step 6: Final answer
   x = 581,189.47