Finding the Third Proportional to 174,967 and 383,184

Step by Step Solution

1. Step 1: Write the proportion equation
   174,967 : 383,184 = 383,184 : x
2. Step 2: Convert to fraction form
   174,967/383,184 = 383,184/x
3. Step 3: Cross multiply
   174,967x = 383,184 × 383,184
4. Step 4: Simplify right side
   174,967x = 146,829,977,856
5. Step 5: Solve for x
   x = 146,829,977,856/174,967
6. Step 6: Final answer
   x = 839,186.69