Finding the Third Proportional to 185,145 and 280,314

Step by Step Solution

1. Step 1: Write the proportion equation
   185,145 : 280,314 = 280,314 : x
2. Step 2: Convert to fraction form
   185,145/280,314 = 280,314/x
3. Step 3: Cross multiply
   185,145x = 280,314 × 280,314
4. Step 4: Simplify right side
   185,145x = 78,575,938,596
5. Step 5: Solve for x
   x = 78,575,938,596/185,145
6. Step 6: Final answer
   x = 424,402.16