Finding the Third Proportional to 80,857 and 122,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,857 : 122,917.50 = 122,917.50 : x
2. Step 2: Convert to fraction form
   80,857/122,917.50 = 122,917.50/x
3. Step 3: Cross multiply
   80,857x = 122,917.50 × 122,917.50
4. Step 4: Simplify right side
   80,857x = 15,108,711,806.25
5. Step 5: Solve for x
   x = 15,108,711,806.25/80,857
6. Step 6: Final answer
   x = 186,857.19