Finding the Third Proportional to 120,468 and 178,958

Step by Step Solution

1. Step 1: Write the proportion equation
   120,468 : 178,958 = 178,958 : x
2. Step 2: Convert to fraction form
   120,468/178,958 = 178,958/x
3. Step 3: Cross multiply
   120,468x = 178,958 × 178,958
4. Step 4: Simplify right side
   120,468x = 32,025,965,764
5. Step 5: Solve for x
   x = 32,025,965,764/120,468
6. Step 6: Final answer
   x = 265,846.25