Finding the Third Proportional to 46,147 and 101,380

Step by Step Solution

1. Step 1: Write the proportion equation
   46,147 : 101,380 = 101,380 : x
2. Step 2: Convert to fraction form
   46,147/101,380 = 101,380/x
3. Step 3: Cross multiply
   46,147x = 101,380 × 101,380
4. Step 4: Simplify right side
   46,147x = 10,277,904,400
5. Step 5: Solve for x
   x = 10,277,904,400/46,147
6. Step 6: Final answer
   x = 222,720.97