Finding the Third Proportional to 83,424 and 179,969

Step by Step Solution

1. Step 1: Write the proportion equation
   83,424 : 179,969 = 179,969 : x
2. Step 2: Convert to fraction form
   83,424/179,969 = 179,969/x
3. Step 3: Cross multiply
   83,424x = 179,969 × 179,969
4. Step 4: Simplify right side
   83,424x = 32,388,840,961
5. Step 5: Solve for x
   x = 32,388,840,961/83,424
6. Step 6: Final answer
   x = 388,243.68