Finding the Third Proportional to 150,192 and 281,466

Step by Step Solution

1. Step 1: Write the proportion equation
   150,192 : 281,466 = 281,466 : x
2. Step 2: Convert to fraction form
   150,192/281,466 = 281,466/x
3. Step 3: Cross multiply
   150,192x = 281,466 × 281,466
4. Step 4: Simplify right side
   150,192x = 79,223,109,156
5. Step 5: Solve for x
   x = 79,223,109,156/150,192
6. Step 6: Final answer
   x = 527,478.89