Finding the Third Proportional to 388,116 and 617,166

Step by Step Solution

1. Step 1: Write the proportion equation
   388,116 : 617,166 = 617,166 : x
2. Step 2: Convert to fraction form
   388,116/617,166 = 617,166/x
3. Step 3: Cross multiply
   388,116x = 617,166 × 617,166
4. Step 4: Simplify right side
   388,116x = 380,893,871,556
5. Step 5: Solve for x
   x = 380,893,871,556/388,116
6. Step 6: Final answer
   x = 981,391.83