Finding the Third Proportional to 67,184 and 146,648

Step by Step Solution

1. Step 1: Write the proportion equation
   67,184 : 146,648 = 146,648 : x
2. Step 2: Convert to fraction form
   67,184/146,648 = 146,648/x
3. Step 3: Cross multiply
   67,184x = 146,648 × 146,648
4. Step 4: Simplify right side
   67,184x = 21,505,635,904
5. Step 5: Solve for x
   x = 21,505,635,904/67,184
6. Step 6: Final answer
   x = 320,100.56