Finding the Third Proportional to 47,119.50 and 102,420

Step by Step Solution

1. Step 1: Write the proportion equation
   47,119.50 : 102,420 = 102,420 : x
2. Step 2: Convert to fraction form
   47,119.50/102,420 = 102,420/x
3. Step 3: Cross multiply
   47,119.50x = 102,420 × 102,420
4. Step 4: Simplify right side
   47,119.50x = 10,489,856,400
5. Step 5: Solve for x
   x = 10,489,856,400/47,119.50
6. Step 6: Final answer
   x = 222,622.40