Finding the Third Proportional to 442,471 and 686,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   442,471 : 686,278.50 = 686,278.50 : x
2. Step 2: Convert to fraction form
   442,471/686,278.50 = 686,278.50/x
3. Step 3: Cross multiply
   442,471x = 686,278.50 × 686,278.50
4. Step 4: Simplify right side
   442,471x = 470,978,179,562.25
5. Step 5: Solve for x
   x = 470,978,179,562.25/442,471
6. Step 6: Final answer
   x = 1,064,427.23