Finding the Third Proportional to 69,384 and 146,018

Step by Step Solution

1. Step 1: Write the proportion equation
   69,384 : 146,018 = 146,018 : x
2. Step 2: Convert to fraction form
   69,384/146,018 = 146,018/x
3. Step 3: Cross multiply
   69,384x = 146,018 × 146,018
4. Step 4: Simplify right side
   69,384x = 21,321,256,324
5. Step 5: Solve for x
   x = 21,321,256,324/69,384
6. Step 6: Final answer
   x = 307,293.56