Finding the Third Proportional to 235,824 and 508,995.75

Step by Step Solution

1. Step 1: Write the proportion equation
   235,824 : 508,995.75 = 508,995.75 : x
2. Step 2: Convert to fraction form
   235,824/508,995.75 = 508,995.75/x
3. Step 3: Cross multiply
   235,824x = 508,995.75 × 508,995.75
4. Step 4: Simplify right side
   235,824x = 259,076,673,518.06
5. Step 5: Solve for x
   x = 259,076,673,518.06/235,824
6. Step 6: Final answer
   x = 1,098,601.81