Finding the Third Proportional to 174,892 and 374,096

Step by Step Solution

1. Step 1: Write the proportion equation
   174,892 : 374,096 = 374,096 : x
2. Step 2: Convert to fraction form
   174,892/374,096 = 374,096/x
3. Step 3: Cross multiply
   174,892x = 374,096 × 374,096
4. Step 4: Simplify right side
   174,892x = 139,947,817,216
5. Step 5: Solve for x
   x = 139,947,817,216/174,892
6. Step 6: Final answer
   x = 800,195.65