Finding the Third Proportional to 120,436 and 178,914

Step by Step Solution

1. Step 1: Write the proportion equation
   120,436 : 178,914 = 178,914 : x
2. Step 2: Convert to fraction form
   120,436/178,914 = 178,914/x
3. Step 3: Cross multiply
   120,436x = 178,914 × 178,914
4. Step 4: Simplify right side
   120,436x = 32,010,219,396
5. Step 5: Solve for x
   x = 32,010,219,396/120,436
6. Step 6: Final answer
   x = 265,786.14