Finding the Third Proportional to 175,144 and 384,182

Step by Step Solution

1. Step 1: Write the proportion equation
   175,144 : 384,182 = 384,182 : x
2. Step 2: Convert to fraction form
   175,144/384,182 = 384,182/x
3. Step 3: Cross multiply
   175,144x = 384,182 × 384,182
4. Step 4: Simplify right side
   175,144x = 147,595,809,124
5. Step 5: Solve for x
   x = 147,595,809,124/175,144
6. Step 6: Final answer
   x = 842,711.19