Finding the Third Proportional to 78,056 and 111,540

Step by Step Solution

1. Step 1: Write the proportion equation
   78,056 : 111,540 = 111,540 : x
2. Step 2: Convert to fraction form
   78,056/111,540 = 111,540/x
3. Step 3: Cross multiply
   78,056x = 111,540 × 111,540
4. Step 4: Simplify right side
   78,056x = 12,441,171,600
5. Step 5: Solve for x
   x = 12,441,171,600/78,056
6. Step 6: Final answer
   x = 159,387.77