Finding the Third Proportional to 47,738 and 102,116

Step by Step Solution

1. Step 1: Write the proportion equation
   47,738 : 102,116 = 102,116 : x
2. Step 2: Convert to fraction form
   47,738/102,116 = 102,116/x
3. Step 3: Cross multiply
   47,738x = 102,116 × 102,116
4. Step 4: Simplify right side
   47,738x = 10,427,677,456
5. Step 5: Solve for x
   x = 10,427,677,456/47,738
6. Step 6: Final answer
   x = 218,435.57