Finding the Third Proportional to 67,180 and 147,128

Step by Step Solution

1. Step 1: Write the proportion equation
   67,180 : 147,128 = 147,128 : x
2. Step 2: Convert to fraction form
   67,180/147,128 = 147,128/x
3. Step 3: Cross multiply
   67,180x = 147,128 × 147,128
4. Step 4: Simplify right side
   67,180x = 21,646,648,384
5. Step 5: Solve for x
   x = 21,646,648,384/67,180
6. Step 6: Final answer
   x = 322,218.64