Finding the Third Proportional to 311,599.50 and 508,764

Step by Step Solution

1. Step 1: Write the proportion equation
   311,599.50 : 508,764 = 508,764 : x
2. Step 2: Convert to fraction form
   311,599.50/508,764 = 508,764/x
3. Step 3: Cross multiply
   311,599.50x = 508,764 × 508,764
4. Step 4: Simplify right side
   311,599.50x = 258,840,807,696
5. Step 5: Solve for x
   x = 258,840,807,696/311,599.50
6. Step 6: Final answer
   x = 830,684.28