Finding the Third Proportional to 174,960 and 381,510

Step by Step Solution

1. Step 1: Write the proportion equation
   174,960 : 381,510 = 381,510 : x
2. Step 2: Convert to fraction form
   174,960/381,510 = 381,510/x
3. Step 3: Cross multiply
   174,960x = 381,510 × 381,510
4. Step 4: Simplify right side
   174,960x = 145,549,880,100
5. Step 5: Solve for x
   x = 145,549,880,100/174,960
6. Step 6: Final answer
   x = 831,903.75