Finding the Third Proportional to 825,548 and 1,686,086

Step by Step Solution

1. Step 1: Write the proportion equation
   825,548 : 1,686,086 = 1,686,086 : x
2. Step 2: Convert to fraction form
   825,548/1,686,086 = 1,686,086/x
3. Step 3: Cross multiply
   825,548x = 1,686,086 × 1,686,086
4. Step 4: Simplify right side
   825,548x = 2,842,885,999,396
5. Step 5: Solve for x
   x = 2,842,885,999,396/825,548
6. Step 6: Final answer
   x = 3,443,635.02