Finding the Third Proportional to 47,738 and 103,674

Step by Step Solution

1. Step 1: Write the proportion equation
   47,738 : 103,674 = 103,674 : x
2. Step 2: Convert to fraction form
   47,738/103,674 = 103,674/x
3. Step 3: Cross multiply
   47,738x = 103,674 × 103,674
4. Step 4: Simplify right side
   47,738x = 10,748,298,276
5. Step 5: Solve for x
   x = 10,748,298,276/47,738
6. Step 6: Final answer
   x = 225,151.83