Finding the Third Proportional to 311,589 and 508,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,589 : 508,747.50 = 508,747.50 : x
2. Step 2: Convert to fraction form
   311,589/508,747.50 = 508,747.50/x
3. Step 3: Cross multiply
   311,589x = 508,747.50 × 508,747.50
4. Step 4: Simplify right side
   311,589x = 258,824,018,756.25
5. Step 5: Solve for x
   x = 258,824,018,756.25/311,589
6. Step 6: Final answer
   x = 830,658.40