Finding the Third Proportional to 83,456 and 173,808

Step by Step Solution

1. Step 1: Write the proportion equation
   83,456 : 173,808 = 173,808 : x
2. Step 2: Convert to fraction form
   83,456/173,808 = 173,808/x
3. Step 3: Cross multiply
   83,456x = 173,808 × 173,808
4. Step 4: Simplify right side
   83,456x = 30,209,220,864
5. Step 5: Solve for x
   x = 30,209,220,864/83,456
6. Step 6: Final answer
   x = 361,977.82