Finding the Third Proportional to 820,271 and 1,284,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   820,271 : 1,284,167.50 = 1,284,167.50 : x
2. Step 2: Convert to fraction form
   820,271/1,284,167.50 = 1,284,167.50/x
3. Step 3: Cross multiply
   820,271x = 1,284,167.50 × 1,284,167.50
4. Step 4: Simplify right side
   820,271x = 1,649,086,168,056.25
5. Step 5: Solve for x
   x = 1,649,086,168,056.25/820,271
6. Step 6: Final answer
   x = 2,010,416.27