Finding the Third Proportional to 50,841 and 78,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,841 : 78,565.50 = 78,565.50 : x
2. Step 2: Convert to fraction form
   50,841/78,565.50 = 78,565.50/x
3. Step 3: Cross multiply
   50,841x = 78,565.50 × 78,565.50
4. Step 4: Simplify right side
   50,841x = 6,172,537,790.25
5. Step 5: Solve for x
   x = 6,172,537,790.25/50,841
6. Step 6: Final answer
   x = 121,408.66