Finding the Third Proportional to 83,196 and 125,856

Step by Step Solution

1. Step 1: Write the proportion equation
   83,196 : 125,856 = 125,856 : x
2. Step 2: Convert to fraction form
   83,196/125,856 = 125,856/x
3. Step 3: Cross multiply
   83,196x = 125,856 × 125,856
4. Step 4: Simplify right side
   83,196x = 15,839,732,736
5. Step 5: Solve for x
   x = 15,839,732,736/83,196
6. Step 6: Final answer
   x = 190,390.56