Finding the Third Proportional to 116,910 and 188,277

Step by Step Solution

1. Step 1: Write the proportion equation
   116,910 : 188,277 = 188,277 : x
2. Step 2: Convert to fraction form
   116,910/188,277 = 188,277/x
3. Step 3: Cross multiply
   116,910x = 188,277 × 188,277
4. Step 4: Simplify right side
   116,910x = 35,448,228,729
5. Step 5: Solve for x
   x = 35,448,228,729/116,910
6. Step 6: Final answer
   x = 303,209.55