Finding the Third Proportional to 82,784 and 124,976

Step by Step Solution

1. Step 1: Write the proportion equation
   82,784 : 124,976 = 124,976 : x
2. Step 2: Convert to fraction form
   82,784/124,976 = 124,976/x
3. Step 3: Cross multiply
   82,784x = 124,976 × 124,976
4. Step 4: Simplify right side
   82,784x = 15,619,000,576
5. Step 5: Solve for x
   x = 15,619,000,576/82,784
6. Step 6: Final answer
   x = 188,671.73