Finding the Third Proportional to 109,848 and 164,760

Step by Step Solution

1. Step 1: Write the proportion equation
   109,848 : 164,760 = 164,760 : x
2. Step 2: Convert to fraction form
   109,848/164,760 = 164,760/x
3. Step 3: Cross multiply
   109,848x = 164,760 × 164,760
4. Step 4: Simplify right side
   109,848x = 27,145,857,600
5. Step 5: Solve for x
   x = 27,145,857,600/109,848
6. Step 6: Final answer
   x = 247,122.00