Finding the Third Proportional to 686,624 and 1,005,356

Step by Step Solution

1. Step 1: Write the proportion equation
   686,624 : 1,005,356 = 1,005,356 : x
2. Step 2: Convert to fraction form
   686,624/1,005,356 = 1,005,356/x
3. Step 3: Cross multiply
   686,624x = 1,005,356 × 1,005,356
4. Step 4: Simplify right side
   686,624x = 1,010,740,686,736
5. Step 5: Solve for x
   x = 1,010,740,686,736/686,624
6. Step 6: Final answer
   x = 1,472,043.92