Finding the Third Proportional to 101,178 and 221,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,178 : 221,629.50 = 221,629.50 : x
2. Step 2: Convert to fraction form
   101,178/221,629.50 = 221,629.50/x
3. Step 3: Cross multiply
   101,178x = 221,629.50 × 221,629.50
4. Step 4: Simplify right side
   101,178x = 49,119,635,270.25
5. Step 5: Solve for x
   x = 49,119,635,270.25/101,178
6. Step 6: Final answer
   x = 485,477.43