Finding the Third Proportional to 105,066 and 137,907

Step by Step Solution

1. Step 1: Write the proportion equation
   105,066 : 137,907 = 137,907 : x
2. Step 2: Convert to fraction form
   105,066/137,907 = 137,907/x
3. Step 3: Cross multiply
   105,066x = 137,907 × 137,907
4. Step 4: Simplify right side
   105,066x = 19,018,340,649
5. Step 5: Solve for x
   x = 19,018,340,649/105,066
6. Step 6: Final answer
   x = 181,013.27