Finding the Third Proportional to 82,693 and 181,586

Step by Step Solution

1. Step 1: Write the proportion equation
   82,693 : 181,586 = 181,586 : x
2. Step 2: Convert to fraction form
   82,693/181,586 = 181,586/x
3. Step 3: Cross multiply
   82,693x = 181,586 × 181,586
4. Step 4: Simplify right side
   82,693x = 32,973,475,396
5. Step 5: Solve for x
   x = 32,973,475,396/82,693
6. Step 6: Final answer
   x = 398,745.67