Finding the Third Proportional to 650,884 and 978,209

Step by Step Solution

1. Step 1: Write the proportion equation
   650,884 : 978,209 = 978,209 : x
2. Step 2: Convert to fraction form
   650,884/978,209 = 978,209/x
3. Step 3: Cross multiply
   650,884x = 978,209 × 978,209
4. Step 4: Simplify right side
   650,884x = 956,892,847,681
5. Step 5: Solve for x
   x = 956,892,847,681/650,884
6. Step 6: Final answer
   x = 1,470,143.45