Finding the Third Proportional to 233,322 and 509,412

Step by Step Solution

1. Step 1: Write the proportion equation
   233,322 : 509,412 = 509,412 : x
2. Step 2: Convert to fraction form
   233,322/509,412 = 509,412/x
3. Step 3: Cross multiply
   233,322x = 509,412 × 509,412
4. Step 4: Simplify right side
   233,322x = 259,500,585,744
5. Step 5: Solve for x
   x = 259,500,585,744/233,322
6. Step 6: Final answer
   x = 1,112,199.39