Finding the Third Proportional to 384,205 and 617,314

Step by Step Solution

1. Step 1: Write the proportion equation
   384,205 : 617,314 = 617,314 : x
2. Step 2: Convert to fraction form
   384,205/617,314 = 617,314/x
3. Step 3: Cross multiply
   384,205x = 617,314 × 617,314
4. Step 4: Simplify right side
   384,205x = 381,076,574,596
5. Step 5: Solve for x
   x = 381,076,574,596/384,205
6. Step 6: Final answer
   x = 991,857.41