Finding the Third Proportional to 120,118 and 188,417

Step by Step Solution

1. Step 1: Write the proportion equation
   120,118 : 188,417 = 188,417 : x
2. Step 2: Convert to fraction form
   120,118/188,417 = 188,417/x
3. Step 3: Cross multiply
   120,118x = 188,417 × 188,417
4. Step 4: Simplify right side
   120,118x = 35,500,965,889
5. Step 5: Solve for x
   x = 35,500,965,889/120,118
6. Step 6: Final answer
   x = 295,550.76