Finding the Third Proportional to 174,007.50 and 379,974

Step by Step Solution

1. Step 1: Write the proportion equation
   174,007.50 : 379,974 = 379,974 : x
2. Step 2: Convert to fraction form
   174,007.50/379,974 = 379,974/x
3. Step 3: Cross multiply
   174,007.50x = 379,974 × 379,974
4. Step 4: Simplify right side
   174,007.50x = 144,380,240,676
5. Step 5: Solve for x
   x = 144,380,240,676/174,007.50
6. Step 6: Final answer
   x = 829,735.73