Finding the Third Proportional to 101,271 and 221,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,271 : 221,602.50 = 221,602.50 : x
2. Step 2: Convert to fraction form
   101,271/221,602.50 = 221,602.50/x
3. Step 3: Cross multiply
   101,271x = 221,602.50 × 221,602.50
4. Step 4: Simplify right side
   101,271x = 49,107,668,006.25
5. Step 5: Solve for x
   x = 49,107,668,006.25/101,271
6. Step 6: Final answer
   x = 484,913.43