Finding the Third Proportional to 686,826 and 1,050,654

Step by Step Solution

1. Step 1: Write the proportion equation
   686,826 : 1,050,654 = 1,050,654 : x
2. Step 2: Convert to fraction form
   686,826/1,050,654 = 1,050,654/x
3. Step 3: Cross multiply
   686,826x = 1,050,654 × 1,050,654
4. Step 4: Simplify right side
   686,826x = 1,103,873,827,716
5. Step 5: Solve for x
   x = 1,103,873,827,716/686,826
6. Step 6: Final answer
   x = 1,607,210.31