Finding the Third Proportional to 174,193.50 and 381,588

Step by Step Solution

1. Step 1: Write the proportion equation
   174,193.50 : 381,588 = 381,588 : x
2. Step 2: Convert to fraction form
   174,193.50/381,588 = 381,588/x
3. Step 3: Cross multiply
   174,193.50x = 381,588 × 381,588
4. Step 4: Simplify right side
   174,193.50x = 145,609,401,744
5. Step 5: Solve for x
   x = 145,609,401,744/174,193.50
6. Step 6: Final answer
   x = 835,906.06