Finding the Third Proportional to 47,181 and 111,220.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,181 : 111,220.50 = 111,220.50 : x
2. Step 2: Convert to fraction form
   47,181/111,220.50 = 111,220.50/x
3. Step 3: Cross multiply
   47,181x = 111,220.50 × 111,220.50
4. Step 4: Simplify right side
   47,181x = 12,369,999,620.25
5. Step 5: Solve for x
   x = 12,369,999,620.25/47,181
6. Step 6: Final answer
   x = 262,181.80