Finding the Third Proportional to 83,424 and 179,970

Step by Step Solution

1. Step 1: Write the proportion equation
   83,424 : 179,970 = 179,970 : x
2. Step 2: Convert to fraction form
   83,424/179,970 = 179,970/x
3. Step 3: Cross multiply
   83,424x = 179,970 × 179,970
4. Step 4: Simplify right side
   83,424x = 32,389,200,900
5. Step 5: Solve for x
   x = 32,389,200,900/83,424
6. Step 6: Final answer
   x = 388,248.00