Finding the Third Proportional to 81,634 and 123,682

Step by Step Solution

1. Step 1: Write the proportion equation
   81,634 : 123,682 = 123,682 : x
2. Step 2: Convert to fraction form
   81,634/123,682 = 123,682/x
3. Step 3: Cross multiply
   81,634x = 123,682 × 123,682
4. Step 4: Simplify right side
   81,634x = 15,297,237,124
5. Step 5: Solve for x
   x = 15,297,237,124/81,634
6. Step 6: Final answer
   x = 187,388.06