Finding the Third Proportional to 67,874 and 147,796

Step by Step Solution

1. Step 1: Write the proportion equation
   67,874 : 147,796 = 147,796 : x
2. Step 2: Convert to fraction form
   67,874/147,796 = 147,796/x
3. Step 3: Cross multiply
   67,874x = 147,796 × 147,796
4. Step 4: Simplify right side
   67,874x = 21,843,657,616
5. Step 5: Solve for x
   x = 21,843,657,616/67,874
6. Step 6: Final answer
   x = 321,826.58