Finding the Third Proportional to 111,096 and 178,901

Step by Step Solution

1. Step 1: Write the proportion equation
   111,096 : 178,901 = 178,901 : x
2. Step 2: Convert to fraction form
   111,096/178,901 = 178,901/x
3. Step 3: Cross multiply
   111,096x = 178,901 × 178,901
4. Step 4: Simplify right side
   111,096x = 32,005,567,801
5. Step 5: Solve for x
   x = 32,005,567,801/111,096
6. Step 6: Final answer
   x = 288,089.29