Finding the Third Proportional to 82,148 and 116,374

Step by Step Solution

1. Step 1: Write the proportion equation
   82,148 : 116,374 = 116,374 : x
2. Step 2: Convert to fraction form
   82,148/116,374 = 116,374/x
3. Step 3: Cross multiply
   82,148x = 116,374 × 116,374
4. Step 4: Simplify right side
   82,148x = 13,542,907,876
5. Step 5: Solve for x
   x = 13,542,907,876/82,148
6. Step 6: Final answer
   x = 164,859.86