Finding the Third Proportional to 786,406 and 1,684,861

Step by Step Solution

1. Step 1: Write the proportion equation
   786,406 : 1,684,861 = 1,684,861 : x
2. Step 2: Convert to fraction form
   786,406/1,684,861 = 1,684,861/x
3. Step 3: Cross multiply
   786,406x = 1,684,861 × 1,684,861
4. Step 4: Simplify right side
   786,406x = 2,838,756,589,321
5. Step 5: Solve for x
   x = 2,838,756,589,321/786,406
6. Step 6: Final answer
   x = 3,609,785.01