Finding the Third Proportional to 46,884 and 101,099

Step by Step Solution

1. Step 1: Write the proportion equation
   46,884 : 101,099 = 101,099 : x
2. Step 2: Convert to fraction form
   46,884/101,099 = 101,099/x
3. Step 3: Cross multiply
   46,884x = 101,099 × 101,099
4. Step 4: Simplify right side
   46,884x = 10,221,007,801
5. Step 5: Solve for x
   x = 10,221,007,801/46,884
6. Step 6: Final answer
   x = 218,006.31