Finding the Third Proportional to 83,600 and 181,024

Step by Step Solution

1. Step 1: Write the proportion equation
   83,600 : 181,024 = 181,024 : x
2. Step 2: Convert to fraction form
   83,600/181,024 = 181,024/x
3. Step 3: Cross multiply
   83,600x = 181,024 × 181,024
4. Step 4: Simplify right side
   83,600x = 32,769,688,576
5. Step 5: Solve for x
   x = 32,769,688,576/83,600
6. Step 6: Final answer
   x = 391,981.92