Finding the Third Proportional to 456,782 and 983,404

Step by Step Solution

1. Step 1: Write the proportion equation
   456,782 : 983,404 = 983,404 : x
2. Step 2: Convert to fraction form
   456,782/983,404 = 983,404/x
3. Step 3: Cross multiply
   456,782x = 983,404 × 983,404
4. Step 4: Simplify right side
   456,782x = 967,083,427,216
5. Step 5: Solve for x
   x = 967,083,427,216/456,782
6. Step 6: Final answer
   x = 2,117,166.24