Finding the Third Proportional to 120,078 and 188,358

Step by Step Solution

1. Step 1: Write the proportion equation
   120,078 : 188,358 = 188,358 : x
2. Step 2: Convert to fraction form
   120,078/188,358 = 188,358/x
3. Step 3: Cross multiply
   120,078x = 188,358 × 188,358
4. Step 4: Simplify right side
   120,078x = 35,478,736,164
5. Step 5: Solve for x
   x = 35,478,736,164/120,078
6. Step 6: Final answer
   x = 295,464.08