Finding the Third Proportional to 105,986 and 148,549

Step by Step Solution

1. Step 1: Write the proportion equation
   105,986 : 148,549 = 148,549 : x
2. Step 2: Convert to fraction form
   105,986/148,549 = 148,549/x
3. Step 3: Cross multiply
   105,986x = 148,549 × 148,549
4. Step 4: Simplify right side
   105,986x = 22,066,805,401
5. Step 5: Solve for x
   x = 22,066,805,401/105,986
6. Step 6: Final answer
   x = 208,204.91