Finding the Third Proportional to 46,383 and 101,642

Step by Step Solution

1. Step 1: Write the proportion equation
   46,383 : 101,642 = 101,642 : x
2. Step 2: Convert to fraction form
   46,383/101,642 = 101,642/x
3. Step 3: Cross multiply
   46,383x = 101,642 × 101,642
4. Step 4: Simplify right side
   46,383x = 10,331,096,164
5. Step 5: Solve for x
   x = 10,331,096,164/46,383
6. Step 6: Final answer
   x = 222,734.54