Finding the Third Proportional to 140,223 and 220,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,223 : 220,540.50 = 220,540.50 : x
2. Step 2: Convert to fraction form
   140,223/220,540.50 = 220,540.50/x
3. Step 3: Cross multiply
   140,223x = 220,540.50 × 220,540.50
4. Step 4: Simplify right side
   140,223x = 48,638,112,140.25
5. Step 5: Solve for x
   x = 48,638,112,140.25/140,223
6. Step 6: Final answer
   x = 346,862.58