Finding the Third Proportional to 827,017 and 1,780,746

Step by Step Solution

1. Step 1: Write the proportion equation
   827,017 : 1,780,746 = 1,780,746 : x
2. Step 2: Convert to fraction form
   827,017/1,780,746 = 1,780,746/x
3. Step 3: Cross multiply
   827,017x = 1,780,746 × 1,780,746
4. Step 4: Simplify right side
   827,017x = 3,171,056,316,516
5. Step 5: Solve for x
   x = 3,171,056,316,516/827,017
6. Step 6: Final answer
   x = 3,834,330.27