Finding the Third Proportional to 174,733 and 382,180

Step by Step Solution

1. Step 1: Write the proportion equation
   174,733 : 382,180 = 382,180 : x
2. Step 2: Convert to fraction form
   174,733/382,180 = 382,180/x
3. Step 3: Cross multiply
   174,733x = 382,180 × 382,180
4. Step 4: Simplify right side
   174,733x = 146,061,552,400
5. Step 5: Solve for x
   x = 146,061,552,400/174,733
6. Step 6: Final answer
   x = 835,912.81