Finding the Third Proportional to 83,824 and 179,632

Step by Step Solution

1. Step 1: Write the proportion equation
   83,824 : 179,632 = 179,632 : x
2. Step 2: Convert to fraction form
   83,824/179,632 = 179,632/x
3. Step 3: Cross multiply
   83,824x = 179,632 × 179,632
4. Step 4: Simplify right side
   83,824x = 32,267,655,424
5. Step 5: Solve for x
   x = 32,267,655,424/83,824
6. Step 6: Final answer
   x = 384,945.31