Finding the Third Proportional to 65,884 and 128,456

Step by Step Solution

1. Step 1: Write the proportion equation
   65,884 : 128,456 = 128,456 : x
2. Step 2: Convert to fraction form
   65,884/128,456 = 128,456/x
3. Step 3: Cross multiply
   65,884x = 128,456 × 128,456
4. Step 4: Simplify right side
   65,884x = 16,500,943,936
5. Step 5: Solve for x
   x = 16,500,943,936/65,884
6. Step 6: Final answer
   x = 250,454.49