Finding the Third Proportional to 81,911 and 123,443

Step by Step Solution

1. Step 1: Write the proportion equation
   81,911 : 123,443 = 123,443 : x
2. Step 2: Convert to fraction form
   81,911/123,443 = 123,443/x
3. Step 3: Cross multiply
   81,911x = 123,443 × 123,443
4. Step 4: Simplify right side
   81,911x = 15,238,174,249
5. Step 5: Solve for x
   x = 15,238,174,249/81,911
6. Step 6: Final answer
   x = 186,033.31