Finding the Third Proportional to 82,788 and 124,982

Step by Step Solution

1. Step 1: Write the proportion equation
   82,788 : 124,982 = 124,982 : x
2. Step 2: Convert to fraction form
   82,788/124,982 = 124,982/x
3. Step 3: Cross multiply
   82,788x = 124,982 × 124,982
4. Step 4: Simplify right side
   82,788x = 15,620,500,324
5. Step 5: Solve for x
   x = 15,620,500,324/82,788
6. Step 6: Final answer
   x = 188,680.73