Finding the Third Proportional to 84,576 and 111,238

Step by Step Solution

1. Step 1: Write the proportion equation
   84,576 : 111,238 = 111,238 : x
2. Step 2: Convert to fraction form
   84,576/111,238 = 111,238/x
3. Step 3: Cross multiply
   84,576x = 111,238 × 111,238
4. Step 4: Simplify right side
   84,576x = 12,373,892,644
5. Step 5: Solve for x
   x = 12,373,892,644/84,576
6. Step 6: Final answer
   x = 146,305.01