Finding the Third Proportional to 67,664 and 146,858

Step by Step Solution

1. Step 1: Write the proportion equation
   67,664 : 146,858 = 146,858 : x
2. Step 2: Convert to fraction form
   67,664/146,858 = 146,858/x
3. Step 3: Cross multiply
   67,664x = 146,858 × 146,858
4. Step 4: Simplify right side
   67,664x = 21,567,272,164
5. Step 5: Solve for x
   x = 21,567,272,164/67,664
6. Step 6: Final answer
   x = 318,740.72