Finding the Third Proportional to 120,064 and 173,896

Step by Step Solution

1. Step 1: Write the proportion equation
   120,064 : 173,896 = 173,896 : x
2. Step 2: Convert to fraction form
   120,064/173,896 = 173,896/x
3. Step 3: Cross multiply
   120,064x = 173,896 × 173,896
4. Step 4: Simplify right side
   120,064x = 30,239,818,816
5. Step 5: Solve for x
   x = 30,239,818,816/120,064
6. Step 6: Final answer
   x = 251,864.16