Finding the Third Proportional to 47,844 and 102,036

Step by Step Solution

1. Step 1: Write the proportion equation
   47,844 : 102,036 = 102,036 : x
2. Step 2: Convert to fraction form
   47,844/102,036 = 102,036/x
3. Step 3: Cross multiply
   47,844x = 102,036 × 102,036
4. Step 4: Simplify right side
   47,844x = 10,411,345,296
5. Step 5: Solve for x
   x = 10,411,345,296/47,844
6. Step 6: Final answer
   x = 217,610.26