Finding the Third Proportional to 233,388 and 509,010

Step by Step Solution

1. Step 1: Write the proportion equation
   233,388 : 509,010 = 509,010 : x
2. Step 2: Convert to fraction form
   233,388/509,010 = 509,010/x
3. Step 3: Cross multiply
   233,388x = 509,010 × 509,010
4. Step 4: Simplify right side
   233,388x = 259,091,180,100
5. Step 5: Solve for x
   x = 259,091,180,100/233,388
6. Step 6: Final answer
   x = 1,110,130.68