Finding the Third Proportional to 238,470 and 511,488

Step by Step Solution

1. Step 1: Write the proportion equation
   238,470 : 511,488 = 511,488 : x
2. Step 2: Convert to fraction form
   238,470/511,488 = 511,488/x
3. Step 3: Cross multiply
   238,470x = 511,488 × 511,488
4. Step 4: Simplify right side
   238,470x = 261,619,974,144
5. Step 5: Solve for x
   x = 261,619,974,144/238,470
6. Step 6: Final answer
   x = 1,097,077.09