Finding the Third Proportional to 115,972 and 179,196

Step by Step Solution

1. Step 1: Write the proportion equation
   115,972 : 179,196 = 179,196 : x
2. Step 2: Convert to fraction form
   115,972/179,196 = 179,196/x
3. Step 3: Cross multiply
   115,972x = 179,196 × 179,196
4. Step 4: Simplify right side
   115,972x = 32,111,206,416
5. Step 5: Solve for x
   x = 32,111,206,416/115,972
6. Step 6: Final answer
   x = 276,887.58