Finding the Third Proportional to 233,003.25 and 509,618.25

Step by Step Solution

1. Step 1: Write the proportion equation
   233,003.25 : 509,618.25 = 509,618.25 : x
2. Step 2: Convert to fraction form
   233,003.25/509,618.25 = 509,618.25/x
3. Step 3: Cross multiply
   233,003.25x = 509,618.25 × 509,618.25
4. Step 4: Simplify right side
   233,003.25x = 259,710,760,733.06
5. Step 5: Solve for x
   x = 259,710,760,733.06/233,003.25
6. Step 6: Final answer
   x = 1,114,622.91