Finding the Third Proportional to 174,808 and 381,360

Step by Step Solution

1. Step 1: Write the proportion equation
   174,808 : 381,360 = 381,360 : x
2. Step 2: Convert to fraction form
   174,808/381,360 = 381,360/x
3. Step 3: Cross multiply
   174,808x = 381,360 × 381,360
4. Step 4: Simplify right side
   174,808x = 145,435,449,600
5. Step 5: Solve for x
   x = 145,435,449,600/174,808
6. Step 6: Final answer
   x = 831,972.50