Finding the Third Proportional to 185,756 and 280,362

Step by Step Solution

1. Step 1: Write the proportion equation
   185,756 : 280,362 = 280,362 : x
2. Step 2: Convert to fraction form
   185,756/280,362 = 280,362/x
3. Step 3: Cross multiply
   185,756x = 280,362 × 280,362
4. Step 4: Simplify right side
   185,756x = 78,602,851,044
5. Step 5: Solve for x
   x = 78,602,851,044/185,756
6. Step 6: Final answer
   x = 423,151.07