Finding the Third Proportional to 105,980 and 148,542

Step by Step Solution

1. Step 1: Write the proportion equation
   105,980 : 148,542 = 148,542 : x
2. Step 2: Convert to fraction form
   105,980/148,542 = 148,542/x
3. Step 3: Cross multiply
   105,980x = 148,542 × 148,542
4. Step 4: Simplify right side
   105,980x = 22,064,725,764
5. Step 5: Solve for x
   x = 22,064,725,764/105,980
6. Step 6: Final answer
   x = 208,197.07