Finding the Third Proportional to 80,788 and 174,824

Step by Step Solution

1. Step 1: Write the proportion equation
   80,788 : 174,824 = 174,824 : x
2. Step 2: Convert to fraction form
   80,788/174,824 = 174,824/x
3. Step 3: Cross multiply
   80,788x = 174,824 × 174,824
4. Step 4: Simplify right side
   80,788x = 30,563,430,976
5. Step 5: Solve for x
   x = 30,563,430,976/80,788
6. Step 6: Final answer
   x = 378,316.47