Finding the Third Proportional to 174,674 and 377,238

Step by Step Solution

1. Step 1: Write the proportion equation
   174,674 : 377,238 = 377,238 : x
2. Step 2: Convert to fraction form
   174,674/377,238 = 377,238/x
3. Step 3: Cross multiply
   174,674x = 377,238 × 377,238
4. Step 4: Simplify right side
   174,674x = 142,308,508,644
5. Step 5: Solve for x
   x = 142,308,508,644/174,674
6. Step 6: Final answer
   x = 814,709.16