Finding the Third Proportional to 138,921 and 199,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,921 : 199,633.50 = 199,633.50 : x
2. Step 2: Convert to fraction form
   138,921/199,633.50 = 199,633.50/x
3. Step 3: Cross multiply
   138,921x = 199,633.50 × 199,633.50
4. Step 4: Simplify right side
   138,921x = 39,853,534,322.25
5. Step 5: Solve for x
   x = 39,853,534,322.25/138,921
6. Step 6: Final answer
   x = 286,879.12