Finding the Third Proportional to 82,161 and 107,892

Step by Step Solution

1. Step 1: Write the proportion equation
   82,161 : 107,892 = 107,892 : x
2. Step 2: Convert to fraction form
   82,161/107,892 = 107,892/x
3. Step 3: Cross multiply
   82,161x = 107,892 × 107,892
4. Step 4: Simplify right side
   82,161x = 11,640,683,664
5. Step 5: Solve for x
   x = 11,640,683,664/82,161
6. Step 6: Final answer
   x = 141,681.38