Finding the Third Proportional to 82,898 and 175,648

Step by Step Solution

1. Step 1: Write the proportion equation
   82,898 : 175,648 = 175,648 : x
2. Step 2: Convert to fraction form
   82,898/175,648 = 175,648/x
3. Step 3: Cross multiply
   82,898x = 175,648 × 175,648
4. Step 4: Simplify right side
   82,898x = 30,852,219,904
5. Step 5: Solve for x
   x = 30,852,219,904/82,898
6. Step 6: Final answer
   x = 372,170.86