Finding the Third Proportional to 81,982 and 120,056

Step by Step Solution

1. Step 1: Write the proportion equation
   81,982 : 120,056 = 120,056 : x
2. Step 2: Convert to fraction form
   81,982/120,056 = 120,056/x
3. Step 3: Cross multiply
   81,982x = 120,056 × 120,056
4. Step 4: Simplify right side
   81,982x = 14,413,443,136
5. Step 5: Solve for x
   x = 14,413,443,136/81,982
6. Step 6: Final answer
   x = 175,812.29