Finding the Third Proportional to 40,123 and 84,834

Step by Step Solution

1. Step 1: Write the proportion equation
   40,123 : 84,834 = 84,834 : x
2. Step 2: Convert to fraction form
   40,123/84,834 = 84,834/x
3. Step 3: Cross multiply
   40,123x = 84,834 × 84,834
4. Step 4: Simplify right side
   40,123x = 7,196,807,556
5. Step 5: Solve for x
   x = 7,196,807,556/40,123
6. Step 6: Final answer
   x = 179,368.63