Finding the Third Proportional to 686,388 and 1,478,883

Step by Step Solution

1. Step 1: Write the proportion equation
   686,388 : 1,478,883 = 1,478,883 : x
2. Step 2: Convert to fraction form
   686,388/1,478,883 = 1,478,883/x
3. Step 3: Cross multiply
   686,388x = 1,478,883 × 1,478,883
4. Step 4: Simplify right side
   686,388x = 2,187,094,927,689
5. Step 5: Solve for x
   x = 2,187,094,927,689/686,388
6. Step 6: Final answer
   x = 3,186,382.82