Finding the Third Proportional to 47,214 and 103,500

Step by Step Solution

1. Step 1: Write the proportion equation
   47,214 : 103,500 = 103,500 : x
2. Step 2: Convert to fraction form
   47,214/103,500 = 103,500/x
3. Step 3: Cross multiply
   47,214x = 103,500 × 103,500
4. Step 4: Simplify right side
   47,214x = 10,712,250,000
5. Step 5: Solve for x
   x = 10,712,250,000/47,214
6. Step 6: Final answer
   x = 226,887.15