Finding the Third Proportional to 522,091 and 830,756

Step by Step Solution

1. Step 1: Write the proportion equation
   522,091 : 830,756 = 830,756 : x
2. Step 2: Convert to fraction form
   522,091/830,756 = 830,756/x
3. Step 3: Cross multiply
   522,091x = 830,756 × 830,756
4. Step 4: Simplify right side
   522,091x = 690,155,531,536
5. Step 5: Solve for x
   x = 690,155,531,536/522,091
6. Step 6: Final answer
   x = 1,321,906.59