Finding the Third Proportional to 174,736 and 382,184

Step by Step Solution

1. Step 1: Write the proportion equation
   174,736 : 382,184 = 382,184 : x
2. Step 2: Convert to fraction form
   174,736/382,184 = 382,184/x
3. Step 3: Cross multiply
   174,736x = 382,184 × 382,184
4. Step 4: Simplify right side
   174,736x = 146,064,609,856
5. Step 5: Solve for x
   x = 146,064,609,856/174,736
6. Step 6: Final answer
   x = 835,915.95