Finding the Third Proportional to 78,468 and 111,782

Step by Step Solution

1. Step 1: Write the proportion equation
   78,468 : 111,782 = 111,782 : x
2. Step 2: Convert to fraction form
   78,468/111,782 = 111,782/x
3. Step 3: Cross multiply
   78,468x = 111,782 × 111,782
4. Step 4: Simplify right side
   78,468x = 12,495,215,524
5. Step 5: Solve for x
   x = 12,495,215,524/78,468
6. Step 6: Final answer
   x = 159,239.63