Finding the Third Proportional to 174,288 and 380,558

Step by Step Solution

1. Step 1: Write the proportion equation
   174,288 : 380,558 = 380,558 : x
2. Step 2: Convert to fraction form
   174,288/380,558 = 380,558/x
3. Step 3: Cross multiply
   174,288x = 380,558 × 380,558
4. Step 4: Simplify right side
   174,288x = 144,824,391,364
5. Step 5: Solve for x
   x = 144,824,391,364/174,288
6. Step 6: Final answer
   x = 830,948.72