Finding the Third Proportional to 111,407 and 182,885

Step by Step Solution

1. Step 1: Write the proportion equation
   111,407 : 182,885 = 182,885 : x
2. Step 2: Convert to fraction form
   111,407/182,885 = 182,885/x
3. Step 3: Cross multiply
   111,407x = 182,885 × 182,885
4. Step 4: Simplify right side
   111,407x = 33,446,923,225
5. Step 5: Solve for x
   x = 33,446,923,225/111,407
6. Step 6: Final answer
   x = 300,222.82