Finding the Third Proportional to 73,824 and 173,314

Step by Step Solution

1. Step 1: Write the proportion equation
   73,824 : 173,314 = 173,314 : x
2. Step 2: Convert to fraction form
   73,824/173,314 = 173,314/x
3. Step 3: Cross multiply
   73,824x = 173,314 × 173,314
4. Step 4: Simplify right side
   73,824x = 30,037,742,596
5. Step 5: Solve for x
   x = 30,037,742,596/73,824
6. Step 6: Final answer
   x = 406,883.16