Finding the Third Proportional to 402,468 and 830,856

Step by Step Solution

1. Step 1: Write the proportion equation
   402,468 : 830,856 = 830,856 : x
2. Step 2: Convert to fraction form
   402,468/830,856 = 830,856/x
3. Step 3: Cross multiply
   402,468x = 830,856 × 830,856
4. Step 4: Simplify right side
   402,468x = 690,321,692,736
5. Step 5: Solve for x
   x = 690,321,692,736/402,468
6. Step 6: Final answer
   x = 1,715,221.32