Finding the Third Proportional to 185,142 and 280,310

Step by Step Solution

1. Step 1: Write the proportion equation
   185,142 : 280,310 = 280,310 : x
2. Step 2: Convert to fraction form
   185,142/280,310 = 280,310/x
3. Step 3: Cross multiply
   185,142x = 280,310 × 280,310
4. Step 4: Simplify right side
   185,142x = 78,573,696,100
5. Step 5: Solve for x
   x = 78,573,696,100/185,142
6. Step 6: Final answer
   x = 424,396.93