Finding the Third Proportional to 46,848 and 102,108

Step by Step Solution

1. Step 1: Write the proportion equation
   46,848 : 102,108 = 102,108 : x
2. Step 2: Convert to fraction form
   46,848/102,108 = 102,108/x
3. Step 3: Cross multiply
   46,848x = 102,108 × 102,108
4. Step 4: Simplify right side
   46,848x = 10,426,043,664
5. Step 5: Solve for x
   x = 10,426,043,664/46,848
6. Step 6: Final answer
   x = 222,550.45