Finding the Third Proportional to 77,977.69 and 111,511.69

Step by Step Solution

1. Step 1: Write the proportion equation
   77,977.69 : 111,511.69 = 111,511.69 : x
2. Step 2: Convert to fraction form
   77,977.69/111,511.69 = 111,511.69/x
3. Step 3: Cross multiply
   77,977.69x = 111,511.69 × 111,511.69
4. Step 4: Simplify right side
   77,977.69x = 12,434,856,449.10
5. Step 5: Solve for x
   x = 12,434,856,449.10/77,977.69
6. Step 6: Final answer
   x = 159,466.85