Finding the Third Proportional to 163,584 and 239,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   163,584 : 239,974.50 = 239,974.50 : x
2. Step 2: Convert to fraction form
   163,584/239,974.50 = 239,974.50/x
3. Step 3: Cross multiply
   163,584x = 239,974.50 × 239,974.50
4. Step 4: Simplify right side
   163,584x = 57,587,760,650.25
5. Step 5: Solve for x
   x = 57,587,760,650.25/163,584
6. Step 6: Final answer
   x = 352,037.86