Finding the Third Proportional to 66,900 and 146,238

Step by Step Solution

1. Step 1: Write the proportion equation
   66,900 : 146,238 = 146,238 : x
2. Step 2: Convert to fraction form
   66,900/146,238 = 146,238/x
3. Step 3: Cross multiply
   66,900x = 146,238 × 146,238
4. Step 4: Simplify right side
   66,900x = 21,385,552,644
5. Step 5: Solve for x
   x = 21,385,552,644/66,900
6. Step 6: Final answer
   x = 319,664.46