Finding the Third Proportional to 147,838 and 231,648

Step by Step Solution

1. Step 1: Write the proportion equation
   147,838 : 231,648 = 231,648 : x
2. Step 2: Convert to fraction form
   147,838/231,648 = 231,648/x
3. Step 3: Cross multiply
   147,838x = 231,648 × 231,648
4. Step 4: Simplify right side
   147,838x = 53,660,795,904
5. Step 5: Solve for x
   x = 53,660,795,904/147,838
6. Step 6: Final answer
   x = 362,970.25