Finding the Third Proportional to 82,153 and 123,593

Step by Step Solution

1. Step 1: Write the proportion equation
   82,153 : 123,593 = 123,593 : x
2. Step 2: Convert to fraction form
   82,153/123,593 = 123,593/x
3. Step 3: Cross multiply
   82,153x = 123,593 × 123,593
4. Step 4: Simplify right side
   82,153x = 15,275,229,649
5. Step 5: Solve for x
   x = 15,275,229,649/82,153
6. Step 6: Final answer
   x = 185,936.36