Finding the Third Proportional to 769,782 and 1,688,280

Step by Step Solution

1. Step 1: Write the proportion equation
   769,782 : 1,688,280 = 1,688,280 : x
2. Step 2: Convert to fraction form
   769,782/1,688,280 = 1,688,280/x
3. Step 3: Cross multiply
   769,782x = 1,688,280 × 1,688,280
4. Step 4: Simplify right side
   769,782x = 2,850,289,358,400
5. Step 5: Solve for x
   x = 2,850,289,358,400/769,782
6. Step 6: Final answer
   x = 3,702,722.79