Finding the Third Proportional to 81,729 and 123,816

Step by Step Solution

1. Step 1: Write the proportion equation
   81,729 : 123,816 = 123,816 : x
2. Step 2: Convert to fraction form
   81,729/123,816 = 123,816/x
3. Step 3: Cross multiply
   81,729x = 123,816 × 123,816
4. Step 4: Simplify right side
   81,729x = 15,330,401,856
5. Step 5: Solve for x
   x = 15,330,401,856/81,729
6. Step 6: Final answer
   x = 187,576.04