Finding the Third Proportional to 83,419 and 181,526

Step by Step Solution

1. Step 1: Write the proportion equation
   83,419 : 181,526 = 181,526 : x
2. Step 2: Convert to fraction form
   83,419/181,526 = 181,526/x
3. Step 3: Cross multiply
   83,419x = 181,526 × 181,526
4. Step 4: Simplify right side
   83,419x = 32,951,688,676
5. Step 5: Solve for x
   x = 32,951,688,676/83,419
6. Step 6: Final answer
   x = 395,014.19