Finding the Third Proportional to 83,170 and 111,471

Step by Step Solution

1. Step 1: Write the proportion equation
   83,170 : 111,471 = 111,471 : x
2. Step 2: Convert to fraction form
   83,170/111,471 = 111,471/x
3. Step 3: Cross multiply
   83,170x = 111,471 × 111,471
4. Step 4: Simplify right side
   83,170x = 12,425,783,841
5. Step 5: Solve for x
   x = 12,425,783,841/83,170
6. Step 6: Final answer
   x = 149,402.23