Finding the Third Proportional to 442,688 and 978,410

Step by Step Solution

1. Step 1: Write the proportion equation
   442,688 : 978,410 = 978,410 : x
2. Step 2: Convert to fraction form
   442,688/978,410 = 978,410/x
3. Step 3: Cross multiply
   442,688x = 978,410 × 978,410
4. Step 4: Simplify right side
   442,688x = 957,286,128,100
5. Step 5: Solve for x
   x = 957,286,128,100/442,688
6. Step 6: Final answer
   x = 2,162,439.75