Finding the Third Proportional to 111,848 and 171,664

Step by Step Solution

1. Step 1: Write the proportion equation
   111,848 : 171,664 = 171,664 : x
2. Step 2: Convert to fraction form
   111,848/171,664 = 171,664/x
3. Step 3: Cross multiply
   111,848x = 171,664 × 171,664
4. Step 4: Simplify right side
   111,848x = 29,468,528,896
5. Step 5: Solve for x
   x = 29,468,528,896/111,848
6. Step 6: Final answer
   x = 263,469.43