Finding the Third Proportional to 140,881 and 206,264

Step by Step Solution

1. Step 1: Write the proportion equation
   140,881 : 206,264 = 206,264 : x
2. Step 2: Convert to fraction form
   140,881/206,264 = 206,264/x
3. Step 3: Cross multiply
   140,881x = 206,264 × 206,264
4. Step 4: Simplify right side
   140,881x = 42,544,837,696
5. Step 5: Solve for x
   x = 42,544,837,696/140,881
6. Step 6: Final answer
   x = 301,991.31