Finding the Third Proportional to 182,314 and 288,456

Step by Step Solution

1. Step 1: Write the proportion equation
   182,314 : 288,456 = 288,456 : x
2. Step 2: Convert to fraction form
   182,314/288,456 = 288,456/x
3. Step 3: Cross multiply
   182,314x = 288,456 × 288,456
4. Step 4: Simplify right side
   182,314x = 83,206,863,936
5. Step 5: Solve for x
   x = 83,206,863,936/182,314
6. Step 6: Final answer
   x = 456,393.17