Finding the Third Proportional to 105,982 and 148,545

Step by Step Solution

1. Step 1: Write the proportion equation
   105,982 : 148,545 = 148,545 : x
2. Step 2: Convert to fraction form
   105,982/148,545 = 148,545/x
3. Step 3: Cross multiply
   105,982x = 148,545 × 148,545
4. Step 4: Simplify right side
   105,982x = 22,065,617,025
5. Step 5: Solve for x
   x = 22,065,617,025/105,982
6. Step 6: Final answer
   x = 208,201.55