Finding the Third Proportional to 101,180 and 220,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,180 : 220,209.50 = 220,209.50 : x
2. Step 2: Convert to fraction form
   101,180/220,209.50 = 220,209.50/x
3. Step 3: Cross multiply
   101,180x = 220,209.50 × 220,209.50
4. Step 4: Simplify right side
   101,180x = 48,492,223,890.25
5. Step 5: Solve for x
   x = 48,492,223,890.25/101,180
6. Step 6: Final answer
   x = 479,266.89