Finding the Third Proportional to 650,882 and 978,206

Step by Step Solution

1. Step 1: Write the proportion equation
   650,882 : 978,206 = 978,206 : x
2. Step 2: Convert to fraction form
   650,882/978,206 = 978,206/x
3. Step 3: Cross multiply
   650,882x = 978,206 × 978,206
4. Step 4: Simplify right side
   650,882x = 956,886,978,436
5. Step 5: Solve for x
   x = 956,886,978,436/650,882
6. Step 6: Final answer
   x = 1,470,138.95