Finding the Third Proportional to 47,644 and 103,658

Step by Step Solution

1. Step 1: Write the proportion equation
   47,644 : 103,658 = 103,658 : x
2. Step 2: Convert to fraction form
   47,644/103,658 = 103,658/x
3. Step 3: Cross multiply
   47,644x = 103,658 × 103,658
4. Step 4: Simplify right side
   47,644x = 10,744,980,964
5. Step 5: Solve for x
   x = 10,744,980,964/47,644
6. Step 6: Final answer
   x = 225,526.42