Finding the Third Proportional to 81,832 and 109,968

Step by Step Solution

1. Step 1: Write the proportion equation
   81,832 : 109,968 = 109,968 : x
2. Step 2: Convert to fraction form
   81,832/109,968 = 109,968/x
3. Step 3: Cross multiply
   81,832x = 109,968 × 109,968
4. Step 4: Simplify right side
   81,832x = 12,092,961,024
5. Step 5: Solve for x
   x = 12,092,961,024/81,832
6. Step 6: Final answer
   x = 147,777.90