Finding the Third Proportional to 174,896 and 380,936

Step by Step Solution

1. Step 1: Write the proportion equation
   174,896 : 380,936 = 380,936 : x
2. Step 2: Convert to fraction form
   174,896/380,936 = 380,936/x
3. Step 3: Cross multiply
   174,896x = 380,936 × 380,936
4. Step 4: Simplify right side
   174,896x = 145,112,236,096
5. Step 5: Solve for x
   x = 145,112,236,096/174,896
6. Step 6: Final answer
   x = 829,705.86