Finding the Third Proportional to 235,686 and 509,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   235,686 : 509,023.50 = 509,023.50 : x
2. Step 2: Convert to fraction form
   235,686/509,023.50 = 509,023.50/x
3. Step 3: Cross multiply
   235,686x = 509,023.50 × 509,023.50
4. Step 4: Simplify right side
   235,686x = 259,104,923,552.25
5. Step 5: Solve for x
   x = 259,104,923,552.25/235,686
6. Step 6: Final answer
   x = 1,099,364.93