Finding the Third Proportional to 174,004 and 334,184

Step by Step Solution

1. Step 1: Write the proportion equation
   174,004 : 334,184 = 334,184 : x
2. Step 2: Convert to fraction form
   174,004/334,184 = 334,184/x
3. Step 3: Cross multiply
   174,004x = 334,184 × 334,184
4. Step 4: Simplify right side
   174,004x = 111,678,945,856
5. Step 5: Solve for x
   x = 111,678,945,856/174,004
6. Step 6: Final answer
   x = 641,818.27