Finding the Third Proportional to 47,642 and 103,654

Step by Step Solution

1. Step 1: Write the proportion equation
   47,642 : 103,654 = 103,654 : x
2. Step 2: Convert to fraction form
   47,642/103,654 = 103,654/x
3. Step 3: Cross multiply
   47,642x = 103,654 × 103,654
4. Step 4: Simplify right side
   47,642x = 10,744,151,716
5. Step 5: Solve for x
   x = 10,744,151,716/47,642
6. Step 6: Final answer
   x = 225,518.49