Finding the Third Proportional to 82,193 and 123,762

Step by Step Solution

1. Step 1: Write the proportion equation
   82,193 : 123,762 = 123,762 : x
2. Step 2: Convert to fraction form
   82,193/123,762 = 123,762/x
3. Step 3: Cross multiply
   82,193x = 123,762 × 123,762
4. Step 4: Simplify right side
   82,193x = 15,317,032,644
5. Step 5: Solve for x
   x = 15,317,032,644/82,193
6. Step 6: Final answer
   x = 186,354.47