Finding the Third Proportional to 825,549 and 1,686,090

Step by Step Solution

1. Step 1: Write the proportion equation
   825,549 : 1,686,090 = 1,686,090 : x
2. Step 2: Convert to fraction form
   825,549/1,686,090 = 1,686,090/x
3. Step 3: Cross multiply
   825,549x = 1,686,090 × 1,686,090
4. Step 4: Simplify right side
   825,549x = 2,842,899,488,100
5. Step 5: Solve for x
   x = 2,842,899,488,100/825,549
6. Step 6: Final answer
   x = 3,443,647.18