Finding the Third Proportional to 238,100 and 359,578

Step by Step Solution

1. Step 1: Write the proportion equation
   238,100 : 359,578 = 359,578 : x
2. Step 2: Convert to fraction form
   238,100/359,578 = 359,578/x
3. Step 3: Cross multiply
   238,100x = 359,578 × 359,578
4. Step 4: Simplify right side
   238,100x = 129,296,338,084
5. Step 5: Solve for x
   x = 129,296,338,084/238,100
6. Step 6: Final answer
   x = 543,033.76