Finding the Third Proportional to 414,016.50 and 843,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,016.50 : 843,256.50 = 843,256.50 : x
2. Step 2: Convert to fraction form
   414,016.50/843,256.50 = 843,256.50/x
3. Step 3: Cross multiply
   414,016.50x = 843,256.50 × 843,256.50
4. Step 4: Simplify right side
   414,016.50x = 711,081,524,792.25
5. Step 5: Solve for x
   x = 711,081,524,792.25/414,016.50
6. Step 6: Final answer
   x = 1,717,519.77