Finding the Third Proportional to 686,628 and 1,005,361

Step by Step Solution

1. Step 1: Write the proportion equation
   686,628 : 1,005,361 = 1,005,361 : x
2. Step 2: Convert to fraction form
   686,628/1,005,361 = 1,005,361/x
3. Step 3: Cross multiply
   686,628x = 1,005,361 × 1,005,361
4. Step 4: Simplify right side
   686,628x = 1,010,750,740,321
5. Step 5: Solve for x
   x = 1,010,750,740,321/686,628
6. Step 6: Final answer
   x = 1,472,049.99