Finding the Third Proportional to 67,838 and 147,729

Step by Step Solution

1. Step 1: Write the proportion equation
   67,838 : 147,729 = 147,729 : x
2. Step 2: Convert to fraction form
   67,838/147,729 = 147,729/x
3. Step 3: Cross multiply
   67,838x = 147,729 × 147,729
4. Step 4: Simplify right side
   67,838x = 21,823,857,441
5. Step 5: Solve for x
   x = 21,823,857,441/67,838
6. Step 6: Final answer
   x = 321,705.50