Finding the Third Proportional to 120,426 and 160,908

Step by Step Solution

1. Step 1: Write the proportion equation
   120,426 : 160,908 = 160,908 : x
2. Step 2: Convert to fraction form
   120,426/160,908 = 160,908/x
3. Step 3: Cross multiply
   120,426x = 160,908 × 160,908
4. Step 4: Simplify right side
   120,426x = 25,891,384,464
5. Step 5: Solve for x
   x = 25,891,384,464/120,426
6. Step 6: Final answer
   x = 214,998.29