Finding the Third Proportional to 829,116 and 1,280,322

Step by Step Solution

1. Step 1: Write the proportion equation
   829,116 : 1,280,322 = 1,280,322 : x
2. Step 2: Convert to fraction form
   829,116/1,280,322 = 1,280,322/x
3. Step 3: Cross multiply
   829,116x = 1,280,322 × 1,280,322
4. Step 4: Simplify right side
   829,116x = 1,639,224,423,684
5. Step 5: Solve for x
   x = 1,639,224,423,684/829,116
6. Step 6: Final answer
   x = 1,977,074.89