Finding the Third Proportional to 47,460 and 103,662

Step by Step Solution

1. Step 1: Write the proportion equation
   47,460 : 103,662 = 103,662 : x
2. Step 2: Convert to fraction form
   47,460/103,662 = 103,662/x
3. Step 3: Cross multiply
   47,460x = 103,662 × 103,662
4. Step 4: Simplify right side
   47,460x = 10,745,810,244
5. Step 5: Solve for x
   x = 10,745,810,244/47,460
6. Step 6: Final answer
   x = 226,418.25