Finding the Third Proportional to 47,151 and 103,770

Step by Step Solution

1. Step 1: Write the proportion equation
   47,151 : 103,770 = 103,770 : x
2. Step 2: Convert to fraction form
   47,151/103,770 = 103,770/x
3. Step 3: Cross multiply
   47,151x = 103,770 × 103,770
4. Step 4: Simplify right side
   47,151x = 10,768,212,900
5. Step 5: Solve for x
   x = 10,768,212,900/47,151
6. Step 6: Final answer
   x = 228,377.19