Finding the Third Proportional to 116,226 and 179,595

Step by Step Solution

1. Step 1: Write the proportion equation
   116,226 : 179,595 = 179,595 : x
2. Step 2: Convert to fraction form
   116,226/179,595 = 179,595/x
3. Step 3: Cross multiply
   116,226x = 179,595 × 179,595
4. Step 4: Simplify right side
   116,226x = 32,254,364,025
5. Step 5: Solve for x
   x = 32,254,364,025/116,226
6. Step 6: Final answer
   x = 277,514.19