Finding the Third Proportional to 83,788 and 179,570

Step by Step Solution

1. Step 1: Write the proportion equation
   83,788 : 179,570 = 179,570 : x
2. Step 2: Convert to fraction form
   83,788/179,570 = 179,570/x
3. Step 3: Cross multiply
   83,788x = 179,570 × 179,570
4. Step 4: Simplify right side
   83,788x = 32,245,384,900
5. Step 5: Solve for x
   x = 32,245,384,900/83,788
6. Step 6: Final answer
   x = 384,844.90