Finding the Third Proportional to 174,900 and 380,944

Step by Step Solution

1. Step 1: Write the proportion equation
   174,900 : 380,944 = 380,944 : x
2. Step 2: Convert to fraction form
   174,900/380,944 = 380,944/x
3. Step 3: Cross multiply
   174,900x = 380,944 × 380,944
4. Step 4: Simplify right side
   174,900x = 145,118,331,136
5. Step 5: Solve for x
   x = 145,118,331,136/174,900
6. Step 6: Final answer
   x = 829,721.73