Finding the Third Proportional to 82,146 and 116,371

Step by Step Solution

1. Step 1: Write the proportion equation
   82,146 : 116,371 = 116,371 : x
2. Step 2: Convert to fraction form
   82,146/116,371 = 116,371/x
3. Step 3: Cross multiply
   82,146x = 116,371 × 116,371
4. Step 4: Simplify right side
   82,146x = 13,542,209,641
5. Step 5: Solve for x
   x = 13,542,209,641/82,146
6. Step 6: Final answer
   x = 164,855.38