Finding the Third Proportional to 686,298 and 1,034,496

Step by Step Solution

1. Step 1: Write the proportion equation
   686,298 : 1,034,496 = 1,034,496 : x
2. Step 2: Convert to fraction form
   686,298/1,034,496 = 1,034,496/x
3. Step 3: Cross multiply
   686,298x = 1,034,496 × 1,034,496
4. Step 4: Simplify right side
   686,298x = 1,070,181,974,016
5. Step 5: Solve for x
   x = 1,070,181,974,016/686,298
6. Step 6: Final answer
   x = 1,559,354.64