Finding the Third Proportional to 105,986 and 148,562

Step by Step Solution

1. Step 1: Write the proportion equation
   105,986 : 148,562 = 148,562 : x
2. Step 2: Convert to fraction form
   105,986/148,562 = 148,562/x
3. Step 3: Cross multiply
   105,986x = 148,562 × 148,562
4. Step 4: Simplify right side
   105,986x = 22,070,667,844
5. Step 5: Solve for x
   x = 22,070,667,844/105,986
6. Step 6: Final answer
   x = 208,241.35