Finding the Third Proportional to 113,204 and 153,196

Step by Step Solution

1. Step 1: Write the proportion equation
   113,204 : 153,196 = 153,196 : x
2. Step 2: Convert to fraction form
   113,204/153,196 = 153,196/x
3. Step 3: Cross multiply
   113,204x = 153,196 × 153,196
4. Step 4: Simplify right side
   113,204x = 23,469,014,416
5. Step 5: Solve for x
   x = 23,469,014,416/113,204
6. Step 6: Final answer
   x = 207,316.12