Finding the Third Proportional to 120,420 and 178,886

Step by Step Solution

1. Step 1: Write the proportion equation
   120,420 : 178,886 = 178,886 : x
2. Step 2: Convert to fraction form
   120,420/178,886 = 178,886/x
3. Step 3: Cross multiply
   120,420x = 178,886 × 178,886
4. Step 4: Simplify right side
   120,420x = 32,000,200,996
5. Step 5: Solve for x
   x = 32,000,200,996/120,420
6. Step 6: Final answer
   x = 265,738.26