Finding the Third Proportional to 120,321 and 256,752

Step by Step Solution

1. Step 1: Write the proportion equation
   120,321 : 256,752 = 256,752 : x
2. Step 2: Convert to fraction form
   120,321/256,752 = 256,752/x
3. Step 3: Cross multiply
   120,321x = 256,752 × 256,752
4. Step 4: Simplify right side
   120,321x = 65,921,589,504
5. Step 5: Solve for x
   x = 65,921,589,504/120,321
6. Step 6: Final answer
   x = 547,881.00