Finding the Third Proportional to 174,188 and 381,570

Step by Step Solution

1. Step 1: Write the proportion equation
   174,188 : 381,570 = 381,570 : x
2. Step 2: Convert to fraction form
   174,188/381,570 = 381,570/x
3. Step 3: Cross multiply
   174,188x = 381,570 × 381,570
4. Step 4: Simplify right side
   174,188x = 145,595,664,900
5. Step 5: Solve for x
   x = 145,595,664,900/174,188
6. Step 6: Final answer
   x = 835,853.59