Finding the Third Proportional to 75,196 and 116,250

Step by Step Solution

1. Step 1: Write the proportion equation
   75,196 : 116,250 = 116,250 : x
2. Step 2: Convert to fraction form
   75,196/116,250 = 116,250/x
3. Step 3: Cross multiply
   75,196x = 116,250 × 116,250
4. Step 4: Simplify right side
   75,196x = 13,514,062,500
5. Step 5: Solve for x
   x = 13,514,062,500/75,196
6. Step 6: Final answer
   x = 179,717.84