Finding the Third Proportional to 47,796 and 102,099

Step by Step Solution

1. Step 1: Write the proportion equation
   47,796 : 102,099 = 102,099 : x
2. Step 2: Convert to fraction form
   47,796/102,099 = 102,099/x
3. Step 3: Cross multiply
   47,796x = 102,099 × 102,099
4. Step 4: Simplify right side
   47,796x = 10,424,205,801
5. Step 5: Solve for x
   x = 10,424,205,801/47,796
6. Step 6: Final answer
   x = 218,097.87