Finding the Third Proportional to 175,314 and 384,000

Step by Step Solution

1. Step 1: Write the proportion equation
   175,314 : 384,000 = 384,000 : x
2. Step 2: Convert to fraction form
   175,314/384,000 = 384,000/x
3. Step 3: Cross multiply
   175,314x = 384,000 × 384,000
4. Step 4: Simplify right side
   175,314x = 147,456,000,000
5. Step 5: Solve for x
   x = 147,456,000,000/175,314
6. Step 6: Final answer
   x = 841,096.55