Finding the Third Proportional to 101,727 and 221,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,727 : 221,674.50 = 221,674.50 : x
2. Step 2: Convert to fraction form
   101,727/221,674.50 = 221,674.50/x
3. Step 3: Cross multiply
   101,727x = 221,674.50 × 221,674.50
4. Step 4: Simplify right side
   101,727x = 49,139,583,950.25
5. Step 5: Solve for x
   x = 49,139,583,950.25/101,727
6. Step 6: Final answer
   x = 483,053.51