Finding the Third Proportional to 120,452 and 178,932

Step by Step Solution

1. Step 1: Write the proportion equation
   120,452 : 178,932 = 178,932 : x
2. Step 2: Convert to fraction form
   120,452/178,932 = 178,932/x
3. Step 3: Cross multiply
   120,452x = 178,932 × 178,932
4. Step 4: Simplify right side
   120,452x = 32,016,660,624
5. Step 5: Solve for x
   x = 32,016,660,624/120,452
6. Step 6: Final answer
   x = 265,804.31