Finding the Third Proportional to 83,242.69 and 181,657.69

Step by Step Solution

1. Step 1: Write the proportion equation
   83,242.69 : 181,657.69 = 181,657.69 : x
2. Step 2: Convert to fraction form
   83,242.69/181,657.69 = 181,657.69/x
3. Step 3: Cross multiply
   83,242.69x = 181,657.69 × 181,657.69
4. Step 4: Simplify right side
   83,242.69x = 32,999,515,427.85
5. Step 5: Solve for x
   x = 32,999,515,427.85/83,242.69
6. Step 6: Final answer
   x = 396,425.40