Finding the Third Proportional to 50,676 and 78,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,676 : 78,820.50 = 78,820.50 : x
2. Step 2: Convert to fraction form
   50,676/78,820.50 = 78,820.50/x
3. Step 3: Cross multiply
   50,676x = 78,820.50 × 78,820.50
4. Step 4: Simplify right side
   50,676x = 6,212,671,220.25
5. Step 5: Solve for x
   x = 6,212,671,220.25/50,676
6. Step 6: Final answer
   x = 122,595.93