Finding the Third Proportional to 646,684 and 978,972

Step by Step Solution

1. Step 1: Write the proportion equation
   646,684 : 978,972 = 978,972 : x
2. Step 2: Convert to fraction form
   646,684/978,972 = 978,972/x
3. Step 3: Cross multiply
   646,684x = 978,972 × 978,972
4. Step 4: Simplify right side
   646,684x = 958,386,176,784
5. Step 5: Solve for x
   x = 958,386,176,784/646,684
6. Step 6: Final answer
   x = 1,482,000.76