Finding the Third Proportional to 78,466 and 111,779

Step by Step Solution

1. Step 1: Write the proportion equation
   78,466 : 111,779 = 111,779 : x
2. Step 2: Convert to fraction form
   78,466/111,779 = 111,779/x
3. Step 3: Cross multiply
   78,466x = 111,779 × 111,779
4. Step 4: Simplify right side
   78,466x = 12,494,544,841
5. Step 5: Solve for x
   x = 12,494,544,841/78,466
6. Step 6: Final answer
   x = 159,235.14