Finding the Third Proportional to 160,866 and 209,061

Step by Step Solution

1. Step 1: Write the proportion equation
   160,866 : 209,061 = 209,061 : x
2. Step 2: Convert to fraction form
   160,866/209,061 = 209,061/x
3. Step 3: Cross multiply
   160,866x = 209,061 × 209,061
4. Step 4: Simplify right side
   160,866x = 43,706,501,721
5. Step 5: Solve for x
   x = 43,706,501,721/160,866
6. Step 6: Final answer
   x = 271,695.09