Finding the Third Proportional to 83,788 and 179,569

Step by Step Solution

1. Step 1: Write the proportion equation
   83,788 : 179,569 = 179,569 : x
2. Step 2: Convert to fraction form
   83,788/179,569 = 179,569/x
3. Step 3: Cross multiply
   83,788x = 179,569 × 179,569
4. Step 4: Simplify right side
   83,788x = 32,245,025,761
5. Step 5: Solve for x
   x = 32,245,025,761/83,788
6. Step 6: Final answer
   x = 384,840.62