Finding the Third Proportional to 235,863 and 509,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   235,863 : 509,269.50 = 509,269.50 : x
2. Step 2: Convert to fraction form
   235,863/509,269.50 = 509,269.50/x
3. Step 3: Cross multiply
   235,863x = 509,269.50 × 509,269.50
4. Step 4: Simplify right side
   235,863x = 259,355,423,630.25
5. Step 5: Solve for x
   x = 259,355,423,630.25/235,863
6. Step 6: Final answer
   x = 1,099,601.99