Finding the Third Proportional to 686,729 and 1,041,758

Step by Step Solution

1. Step 1: Write the proportion equation
   686,729 : 1,041,758 = 1,041,758 : x
2. Step 2: Convert to fraction form
   686,729/1,041,758 = 1,041,758/x
3. Step 3: Cross multiply
   686,729x = 1,041,758 × 1,041,758
4. Step 4: Simplify right side
   686,729x = 1,085,259,730,564
5. Step 5: Solve for x
   x = 1,085,259,730,564/686,729
6. Step 6: Final answer
   x = 1,580,331.88