Finding the Third Proportional to 105,010 and 137,831

Step by Step Solution

1. Step 1: Write the proportion equation
   105,010 : 137,831 = 137,831 : x
2. Step 2: Convert to fraction form
   105,010/137,831 = 137,831/x
3. Step 3: Cross multiply
   105,010x = 137,831 × 137,831
4. Step 4: Simplify right side
   105,010x = 18,997,384,561
5. Step 5: Solve for x
   x = 18,997,384,561/105,010
6. Step 6: Final answer
   x = 180,910.24