Finding the Third Proportional to 67,176 and 146,662

Step by Step Solution

1. Step 1: Write the proportion equation
   67,176 : 146,662 = 146,662 : x
2. Step 2: Convert to fraction form
   67,176/146,662 = 146,662/x
3. Step 3: Cross multiply
   67,176x = 146,662 × 146,662
4. Step 4: Simplify right side
   67,176x = 21,509,742,244
5. Step 5: Solve for x
   x = 21,509,742,244/67,176
6. Step 6: Final answer
   x = 320,199.81