Finding the Third Proportional to 67,686 and 148,500

Step by Step Solution

1. Step 1: Write the proportion equation
   67,686 : 148,500 = 148,500 : x
2. Step 2: Convert to fraction form
   67,686/148,500 = 148,500/x
3. Step 3: Cross multiply
   67,686x = 148,500 × 148,500
4. Step 4: Simplify right side
   67,686x = 22,052,250,000
5. Step 5: Solve for x
   x = 22,052,250,000/67,686
6. Step 6: Final answer
   x = 325,802.23