Finding the Third Proportional to 81,984 and 111,274

Step by Step Solution

1. Step 1: Write the proportion equation
   81,984 : 111,274 = 111,274 : x
2. Step 2: Convert to fraction form
   81,984/111,274 = 111,274/x
3. Step 3: Cross multiply
   81,984x = 111,274 × 111,274
4. Step 4: Simplify right side
   81,984x = 12,381,903,076
5. Step 5: Solve for x
   x = 12,381,903,076/81,984
6. Step 6: Final answer
   x = 151,028.29