Finding the Third Proportional to 238,097 and 359,576

Step by Step Solution

1. Step 1: Write the proportion equation
   238,097 : 359,576 = 359,576 : x
2. Step 2: Convert to fraction form
   238,097/359,576 = 359,576/x
3. Step 3: Cross multiply
   238,097x = 359,576 × 359,576
4. Step 4: Simplify right side
   238,097x = 129,294,899,776
5. Step 5: Solve for x
   x = 129,294,899,776/238,097
6. Step 6: Final answer
   x = 543,034.56