Finding the Third Proportional to 825,584 and 1,686,154

Step by Step Solution

1. Step 1: Write the proportion equation
   825,584 : 1,686,154 = 1,686,154 : x
2. Step 2: Convert to fraction form
   825,584/1,686,154 = 1,686,154/x
3. Step 3: Cross multiply
   825,584x = 1,686,154 × 1,686,154
4. Step 4: Simplify right side
   825,584x = 2,843,115,311,716
5. Step 5: Solve for x
   x = 2,843,115,311,716/825,584
6. Step 6: Final answer
   x = 3,443,762.61