Finding the Third Proportional to 825,545 and 1,686,082

Step by Step Solution

1. Step 1: Write the proportion equation
   825,545 : 1,686,082 = 1,686,082 : x
2. Step 2: Convert to fraction form
   825,545/1,686,082 = 1,686,082/x
3. Step 3: Cross multiply
   825,545x = 1,686,082 × 1,686,082
4. Step 4: Simplify right side
   825,545x = 2,842,872,510,724
5. Step 5: Solve for x
   x = 2,842,872,510,724/825,545
6. Step 6: Final answer
   x = 3,443,631.19