Finding the Third Proportional to 111,057 and 178,851

Step by Step Solution

1. Step 1: Write the proportion equation
   111,057 : 178,851 = 178,851 : x
2. Step 2: Convert to fraction form
   111,057/178,851 = 178,851/x
3. Step 3: Cross multiply
   111,057x = 178,851 × 178,851
4. Step 4: Simplify right side
   111,057x = 31,987,680,201
5. Step 5: Solve for x
   x = 31,987,680,201/111,057
6. Step 6: Final answer
   x = 288,029.39