Finding the Third Proportional to 82,978 and 111,337

Step by Step Solution

1. Step 1: Write the proportion equation
   82,978 : 111,337 = 111,337 : x
2. Step 2: Convert to fraction form
   82,978/111,337 = 111,337/x
3. Step 3: Cross multiply
   82,978x = 111,337 × 111,337
4. Step 4: Simplify right side
   82,978x = 12,395,927,569
5. Step 5: Solve for x
   x = 12,395,927,569/82,978
6. Step 6: Final answer
   x = 149,388.12