Finding the Third Proportional to 311,586.50 and 508,744

Step by Step Solution

1. Step 1: Write the proportion equation
   311,586.50 : 508,744 = 508,744 : x
2. Step 2: Convert to fraction form
   311,586.50/508,744 = 508,744/x
3. Step 3: Cross multiply
   311,586.50x = 508,744 × 508,744
4. Step 4: Simplify right side
   311,586.50x = 258,820,457,536
5. Step 5: Solve for x
   x = 258,820,457,536/311,586.50
6. Step 6: Final answer
   x = 830,653.63