Finding the Third Proportional to 80,109 and 120,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,109 : 120,777.50 = 120,777.50 : x
2. Step 2: Convert to fraction form
   80,109/120,777.50 = 120,777.50/x
3. Step 3: Cross multiply
   80,109x = 120,777.50 × 120,777.50
4. Step 4: Simplify right side
   80,109x = 14,587,204,506.25
5. Step 5: Solve for x
   x = 14,587,204,506.25/80,109
6. Step 6: Final answer
   x = 182,091.96