Finding the Third Proportional to 174,096 and 380,994

Step by Step Solution

1. Step 1: Write the proportion equation
   174,096 : 380,994 = 380,994 : x
2. Step 2: Convert to fraction form
   174,096/380,994 = 380,994/x
3. Step 3: Cross multiply
   174,096x = 380,994 × 380,994
4. Step 4: Simplify right side
   174,096x = 145,156,428,036
5. Step 5: Solve for x
   x = 145,156,428,036/174,096
6. Step 6: Final answer
   x = 833,772.33