Finding the Third Proportional to 83,824 and 170,078

Step by Step Solution

1. Step 1: Write the proportion equation
   83,824 : 170,078 = 170,078 : x
2. Step 2: Convert to fraction form
   83,824/170,078 = 170,078/x
3. Step 3: Cross multiply
   83,824x = 170,078 × 170,078
4. Step 4: Simplify right side
   83,824x = 28,926,526,084
5. Step 5: Solve for x
   x = 28,926,526,084/83,824
6. Step 6: Final answer
   x = 345,086.44