Finding the Third Proportional to 116,593 and 171,061

Step by Step Solution

1. Step 1: Write the proportion equation
   116,593 : 171,061 = 171,061 : x
2. Step 2: Convert to fraction form
   116,593/171,061 = 171,061/x
3. Step 3: Cross multiply
   116,593x = 171,061 × 171,061
4. Step 4: Simplify right side
   116,593x = 29,261,865,721
5. Step 5: Solve for x
   x = 29,261,865,721/116,593
6. Step 6: Final answer
   x = 250,974.46