Finding the Third Proportional to 442,519 and 978,054

Step by Step Solution

1. Step 1: Write the proportion equation
   442,519 : 978,054 = 978,054 : x
2. Step 2: Convert to fraction form
   442,519/978,054 = 978,054/x
3. Step 3: Cross multiply
   442,519x = 978,054 × 978,054
4. Step 4: Simplify right side
   442,519x = 956,589,626,916
5. Step 5: Solve for x
   x = 956,589,626,916/442,519
6. Step 6: Final answer
   x = 2,161,691.65