Finding the Third Proportional to 83,080.69 and 181,389.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,080.69 : 181,389.38 = 181,389.38 : x
2. Step 2: Convert to fraction form
   83,080.69/181,389.38 = 181,389.38/x
3. Step 3: Cross multiply
   83,080.69x = 181,389.38 × 181,389.38
4. Step 4: Simplify right side
   83,080.69x = 32,902,105,362.89
5. Step 5: Solve for x
   x = 32,902,105,362.89/83,080.69
6. Step 6: Final answer
   x = 396,025.92