Finding the Third Proportional to 314,410 and 678,848

Step by Step Solution

1. Step 1: Write the proportion equation
   314,410 : 678,848 = 678,848 : x
2. Step 2: Convert to fraction form
   314,410/678,848 = 678,848/x
3. Step 3: Cross multiply
   314,410x = 678,848 × 678,848
4. Step 4: Simplify right side
   314,410x = 460,834,607,104
5. Step 5: Solve for x
   x = 460,834,607,104/314,410
6. Step 6: Final answer
   x = 1,465,712.31