Finding the Third Proportional to 78,284 and 111,914

Step by Step Solution

1. Step 1: Write the proportion equation
   78,284 : 111,914 = 111,914 : x
2. Step 2: Convert to fraction form
   78,284/111,914 = 111,914/x
3. Step 3: Cross multiply
   78,284x = 111,914 × 111,914
4. Step 4: Simplify right side
   78,284x = 12,524,743,396
5. Step 5: Solve for x
   x = 12,524,743,396/78,284
6. Step 6: Final answer
   x = 159,991.10