Finding the Third Proportional to 111,375 and 182,839

Step by Step Solution

1. Step 1: Write the proportion equation
   111,375 : 182,839 = 182,839 : x
2. Step 2: Convert to fraction form
   111,375/182,839 = 182,839/x
3. Step 3: Cross multiply
   111,375x = 182,839 × 182,839
4. Step 4: Simplify right side
   111,375x = 33,430,099,921
5. Step 5: Solve for x
   x = 33,430,099,921/111,375
6. Step 6: Final answer
   x = 300,158.02