Finding the Third Proportional to 174,759.50 and 382,227

Step by Step Solution

1. Step 1: Write the proportion equation
   174,759.50 : 382,227 = 382,227 : x
2. Step 2: Convert to fraction form
   174,759.50/382,227 = 382,227/x
3. Step 3: Cross multiply
   174,759.50x = 382,227 × 382,227
4. Step 4: Simplify right side
   174,759.50x = 146,097,479,529
5. Step 5: Solve for x
   x = 146,097,479,529/174,759.50
6. Step 6: Final answer
   x = 835,991.63