Finding the Third Proportional to 175,074 and 384,188

Step by Step Solution

1. Step 1: Write the proportion equation
   175,074 : 384,188 = 384,188 : x
2. Step 2: Convert to fraction form
   175,074/384,188 = 384,188/x
3. Step 3: Cross multiply
   175,074x = 384,188 × 384,188
4. Step 4: Simplify right side
   175,074x = 147,600,419,344
5. Step 5: Solve for x
   x = 147,600,419,344/175,074
6. Step 6: Final answer
   x = 843,074.47