Finding the Third Proportional to 71,924 and 111,671

Step by Step Solution

1. Step 1: Write the proportion equation
   71,924 : 111,671 = 111,671 : x
2. Step 2: Convert to fraction form
   71,924/111,671 = 111,671/x
3. Step 3: Cross multiply
   71,924x = 111,671 × 111,671
4. Step 4: Simplify right side
   71,924x = 12,470,412,241
5. Step 5: Solve for x
   x = 12,470,412,241/71,924
6. Step 6: Final answer
   x = 173,383.19