Finding the Third Proportional to 235,926 and 509,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   235,926 : 509,395.50 = 509,395.50 : x
2. Step 2: Convert to fraction form
   235,926/509,395.50 = 509,395.50/x
3. Step 3: Cross multiply
   235,926x = 509,395.50 × 509,395.50
4. Step 4: Simplify right side
   235,926x = 259,483,775,420.25
5. Step 5: Solve for x
   x = 259,483,775,420.25/235,926
6. Step 6: Final answer
   x = 1,099,852.39