Finding the Third Proportional to 784,892 and 1,689,583

Step by Step Solution

1. Step 1: Write the proportion equation
   784,892 : 1,689,583 = 1,689,583 : x
2. Step 2: Convert to fraction form
   784,892/1,689,583 = 1,689,583/x
3. Step 3: Cross multiply
   784,892x = 1,689,583 × 1,689,583
4. Step 4: Simplify right side
   784,892x = 2,854,690,713,889
5. Step 5: Solve for x
   x = 2,854,690,713,889/784,892
6. Step 6: Final answer
   x = 3,637,049.06