Finding the Third Proportional to 238,198 and 510,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,198 : 510,932.50 = 510,932.50 : x
2. Step 2: Convert to fraction form
   238,198/510,932.50 = 510,932.50/x
3. Step 3: Cross multiply
   238,198x = 510,932.50 × 510,932.50
4. Step 4: Simplify right side
   238,198x = 261,052,019,556.25
5. Step 5: Solve for x
   x = 261,052,019,556.25/238,198
6. Step 6: Final answer
   x = 1,095,945.47