Finding the Third Proportional to 616,376 and 978,012

Step by Step Solution

1. Step 1: Write the proportion equation
   616,376 : 978,012 = 978,012 : x
2. Step 2: Convert to fraction form
   616,376/978,012 = 978,012/x
3. Step 3: Cross multiply
   616,376x = 978,012 × 978,012
4. Step 4: Simplify right side
   616,376x = 956,507,472,144
5. Step 5: Solve for x
   x = 956,507,472,144/616,376
6. Step 6: Final answer
   x = 1,551,824.65