Finding the Third Proportional to 83,139 and 181,830

Step by Step Solution

1. Step 1: Write the proportion equation
   83,139 : 181,830 = 181,830 : x
2. Step 2: Convert to fraction form
   83,139/181,830 = 181,830/x
3. Step 3: Cross multiply
   83,139x = 181,830 × 181,830
4. Step 4: Simplify right side
   83,139x = 33,062,148,900
5. Step 5: Solve for x
   x = 33,062,148,900/83,139
6. Step 6: Final answer
   x = 397,673.16