Finding the Third Proportional to 686,364 and 1,043,538

Step by Step Solution

1. Step 1: Write the proportion equation
   686,364 : 1,043,538 = 1,043,538 : x
2. Step 2: Convert to fraction form
   686,364/1,043,538 = 1,043,538/x
3. Step 3: Cross multiply
   686,364x = 1,043,538 × 1,043,538
4. Step 4: Simplify right side
   686,364x = 1,088,971,557,444
5. Step 5: Solve for x
   x = 1,088,971,557,444/686,364
6. Step 6: Final answer
   x = 1,586,580.24