Finding the Third Proportional to 82,138 and 175,940

Step by Step Solution

1. Step 1: Write the proportion equation
   82,138 : 175,940 = 175,940 : x
2. Step 2: Convert to fraction form
   82,138/175,940 = 175,940/x
3. Step 3: Cross multiply
   82,138x = 175,940 × 175,940
4. Step 4: Simplify right side
   82,138x = 30,954,883,600
5. Step 5: Solve for x
   x = 30,954,883,600/82,138
6. Step 6: Final answer
   x = 376,864.35