Finding the Third Proportional to 132,144 and 281,364

Step by Step Solution

1. Step 1: Write the proportion equation
   132,144 : 281,364 = 281,364 : x
2. Step 2: Convert to fraction form
   132,144/281,364 = 281,364/x
3. Step 3: Cross multiply
   132,144x = 281,364 × 281,364
4. Step 4: Simplify right side
   132,144x = 79,165,700,496
5. Step 5: Solve for x
   x = 79,165,700,496/132,144
6. Step 6: Final answer
   x = 599,086.61