Finding the Third Proportional to 829,106.50 and 1,280,308

Step by Step Solution

1. Step 1: Write the proportion equation
   829,106.50 : 1,280,308 = 1,280,308 : x
2. Step 2: Convert to fraction form
   829,106.50/1,280,308 = 1,280,308/x
3. Step 3: Cross multiply
   829,106.50x = 1,280,308 × 1,280,308
4. Step 4: Simplify right side
   829,106.50x = 1,639,188,574,864
5. Step 5: Solve for x
   x = 1,639,188,574,864/829,106.50
6. Step 6: Final answer
   x = 1,977,054.30