Finding the Third Proportional to 407,856 and 827,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,856 : 827,101.50 = 827,101.50 : x
2. Step 2: Convert to fraction form
   407,856/827,101.50 = 827,101.50/x
3. Step 3: Cross multiply
   407,856x = 827,101.50 × 827,101.50
4. Step 4: Simplify right side
   407,856x = 684,096,891,302.25
5. Step 5: Solve for x
   x = 684,096,891,302.25/407,856
6. Step 6: Final answer
   x = 1,677,300.06