Finding the Third Proportional to 83,421 and 181,530

Step by Step Solution

1. Step 1: Write the proportion equation
   83,421 : 181,530 = 181,530 : x
2. Step 2: Convert to fraction form
   83,421/181,530 = 181,530/x
3. Step 3: Cross multiply
   83,421x = 181,530 × 181,530
4. Step 4: Simplify right side
   83,421x = 32,953,140,900
5. Step 5: Solve for x
   x = 32,953,140,900/83,421
6. Step 6: Final answer
   x = 395,022.13