Finding the Third Proportional to 101,796 and 221,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,796 : 221,662.50 = 221,662.50 : x
2. Step 2: Convert to fraction form
   101,796/221,662.50 = 221,662.50/x
3. Step 3: Cross multiply
   101,796x = 221,662.50 × 221,662.50
4. Step 4: Simplify right side
   101,796x = 49,134,263,906.25
5. Step 5: Solve for x
   x = 49,134,263,906.25/101,796
6. Step 6: Final answer
   x = 482,673.82