Finding the Third Proportional to 115,850 and 179,096

Step by Step Solution

1. Step 1: Write the proportion equation
   115,850 : 179,096 = 179,096 : x
2. Step 2: Convert to fraction form
   115,850/179,096 = 179,096/x
3. Step 3: Cross multiply
   115,850x = 179,096 × 179,096
4. Step 4: Simplify right side
   115,850x = 32,075,377,216
5. Step 5: Solve for x
   x = 32,075,377,216/115,850
6. Step 6: Final answer
   x = 276,869.89