Finding the Third Proportional to 120,872 and 169,914

Step by Step Solution

1. Step 1: Write the proportion equation
   120,872 : 169,914 = 169,914 : x
2. Step 2: Convert to fraction form
   120,872/169,914 = 169,914/x
3. Step 3: Cross multiply
   120,872x = 169,914 × 169,914
4. Step 4: Simplify right side
   120,872x = 28,870,767,396
5. Step 5: Solve for x
   x = 28,870,767,396/120,872
6. Step 6: Final answer
   x = 238,854.06