Finding the Third Proportional to 67,114 and 146,852

Step by Step Solution

1. Step 1: Write the proportion equation
   67,114 : 146,852 = 146,852 : x
2. Step 2: Convert to fraction form
   67,114/146,852 = 146,852/x
3. Step 3: Cross multiply
   67,114x = 146,852 × 146,852
4. Step 4: Simplify right side
   67,114x = 21,565,509,904
5. Step 5: Solve for x
   x = 21,565,509,904/67,114
6. Step 6: Final answer
   x = 321,326.55