Finding the Third Proportional to 174,614 and 381,210

Step by Step Solution

1. Step 1: Write the proportion equation
   174,614 : 381,210 = 381,210 : x
2. Step 2: Convert to fraction form
   174,614/381,210 = 381,210/x
3. Step 3: Cross multiply
   174,614x = 381,210 × 381,210
4. Step 4: Simplify right side
   174,614x = 145,321,064,100
5. Step 5: Solve for x
   x = 145,321,064,100/174,614
6. Step 6: Final answer
   x = 832,241.77