Finding the Third Proportional to 84,692 and 123,856

Step by Step Solution

1. Step 1: Write the proportion equation
   84,692 : 123,856 = 123,856 : x
2. Step 2: Convert to fraction form
   84,692/123,856 = 123,856/x
3. Step 3: Cross multiply
   84,692x = 123,856 × 123,856
4. Step 4: Simplify right side
   84,692x = 15,340,308,736
5. Step 5: Solve for x
   x = 15,340,308,736/84,692
6. Step 6: Final answer
   x = 181,130.55