Finding the Third Proportional to 105,994 and 148,561

Step by Step Solution

1. Step 1: Write the proportion equation
   105,994 : 148,561 = 148,561 : x
2. Step 2: Convert to fraction form
   105,994/148,561 = 148,561/x
3. Step 3: Cross multiply
   105,994x = 148,561 × 148,561
4. Step 4: Simplify right side
   105,994x = 22,070,370,721
5. Step 5: Solve for x
   x = 22,070,370,721/105,994
6. Step 6: Final answer
   x = 208,222.83