Finding the Third Proportional to 174,731 and 382,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,731 : 382,175.50 = 382,175.50 : x
2. Step 2: Convert to fraction form
   174,731/382,175.50 = 382,175.50/x
3. Step 3: Cross multiply
   174,731x = 382,175.50 × 382,175.50
4. Step 4: Simplify right side
   174,731x = 146,058,112,800.25
5. Step 5: Solve for x
   x = 146,058,112,800.25/174,731
6. Step 6: Final answer
   x = 835,902.69