Finding the Third Proportional to 180,314 and 280,300

Step by Step Solution

1. Step 1: Write the proportion equation
   180,314 : 280,300 = 280,300 : x
2. Step 2: Convert to fraction form
   180,314/280,300 = 280,300/x
3. Step 3: Cross multiply
   180,314x = 280,300 × 280,300
4. Step 4: Simplify right side
   180,314x = 78,568,090,000
5. Step 5: Solve for x
   x = 78,568,090,000/180,314
6. Step 6: Final answer
   x = 435,729.28