Finding the Third Proportional to 75,256 and 116,191

Step by Step Solution

1. Step 1: Write the proportion equation
   75,256 : 116,191 = 116,191 : x
2. Step 2: Convert to fraction form
   75,256/116,191 = 116,191/x
3. Step 3: Cross multiply
   75,256x = 116,191 × 116,191
4. Step 4: Simplify right side
   75,256x = 13,500,348,481
5. Step 5: Solve for x
   x = 13,500,348,481/75,256
6. Step 6: Final answer
   x = 179,392.32