Finding the Third Proportional to 174,969 and 383,188

Step by Step Solution

1. Step 1: Write the proportion equation
   174,969 : 383,188 = 383,188 : x
2. Step 2: Convert to fraction form
   174,969/383,188 = 383,188/x
3. Step 3: Cross multiply
   174,969x = 383,188 × 383,188
4. Step 4: Simplify right side
   174,969x = 146,833,043,344
5. Step 5: Solve for x
   x = 146,833,043,344/174,969
6. Step 6: Final answer
   x = 839,194.62