Finding the Third Proportional to 105,876 and 148,398

Step by Step Solution

1. Step 1: Write the proportion equation
   105,876 : 148,398 = 148,398 : x
2. Step 2: Convert to fraction form
   105,876/148,398 = 148,398/x
3. Step 3: Cross multiply
   105,876x = 148,398 × 148,398
4. Step 4: Simplify right side
   105,876x = 22,021,966,404
5. Step 5: Solve for x
   x = 22,021,966,404/105,876
6. Step 6: Final answer
   x = 207,997.72