Finding the Third Proportional to 686,856 and 1,475,280

Step by Step Solution

1. Step 1: Write the proportion equation
   686,856 : 1,475,280 = 1,475,280 : x
2. Step 2: Convert to fraction form
   686,856/1,475,280 = 1,475,280/x
3. Step 3: Cross multiply
   686,856x = 1,475,280 × 1,475,280
4. Step 4: Simplify right side
   686,856x = 2,176,451,078,400
5. Step 5: Solve for x
   x = 2,176,451,078,400/686,856
6. Step 6: Final answer
   x = 3,168,715.25