Finding the Third Proportional to 47,206 and 99,879.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,206 : 99,879.50 = 99,879.50 : x
2. Step 2: Convert to fraction form
   47,206/99,879.50 = 99,879.50/x
3. Step 3: Cross multiply
   47,206x = 99,879.50 × 99,879.50
4. Step 4: Simplify right side
   47,206x = 9,975,914,520.25
5. Step 5: Solve for x
   x = 9,975,914,520.25/47,206
6. Step 6: Final answer
   x = 211,327.26