Finding the Third Proportional to 75,196 and 109,240

Step by Step Solution

1. Step 1: Write the proportion equation
   75,196 : 109,240 = 109,240 : x
2. Step 2: Convert to fraction form
   75,196/109,240 = 109,240/x
3. Step 3: Cross multiply
   75,196x = 109,240 × 109,240
4. Step 4: Simplify right side
   75,196x = 11,933,377,600
5. Step 5: Solve for x
   x = 11,933,377,600/75,196
6. Step 6: Final answer
   x = 158,696.97