Finding the Third Proportional to 140,960 and 206,148

Step by Step Solution

1. Step 1: Write the proportion equation
   140,960 : 206,148 = 206,148 : x
2. Step 2: Convert to fraction form
   140,960/206,148 = 206,148/x
3. Step 3: Cross multiply
   140,960x = 206,148 × 206,148
4. Step 4: Simplify right side
   140,960x = 42,496,997,904
5. Step 5: Solve for x
   x = 42,496,997,904/140,960
6. Step 6: Final answer
   x = 301,482.68