Finding the Third Proportional to 84,691 and 123,855

Step by Step Solution

1. Step 1: Write the proportion equation
   84,691 : 123,855 = 123,855 : x
2. Step 2: Convert to fraction form
   84,691/123,855 = 123,855/x
3. Step 3: Cross multiply
   84,691x = 123,855 × 123,855
4. Step 4: Simplify right side
   84,691x = 15,340,061,025
5. Step 5: Solve for x
   x = 15,340,061,025/84,691
6. Step 6: Final answer
   x = 181,129.77