Finding the Third Proportional to 47,616 and 103,161

Step by Step Solution

1. Step 1: Write the proportion equation
   47,616 : 103,161 = 103,161 : x
2. Step 2: Convert to fraction form
   47,616/103,161 = 103,161/x
3. Step 3: Cross multiply
   47,616x = 103,161 × 103,161
4. Step 4: Simplify right side
   47,616x = 10,642,191,921
5. Step 5: Solve for x
   x = 10,642,191,921/47,616
6. Step 6: Final answer
   x = 223,500.33