Finding the Third Proportional to 117,855 and 188,142.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,855 : 188,142.75 = 188,142.75 : x
2. Step 2: Convert to fraction form
   117,855/188,142.75 = 188,142.75/x
3. Step 3: Cross multiply
   117,855x = 188,142.75 × 188,142.75
4. Step 4: Simplify right side
   117,855x = 35,397,694,377.56
5. Step 5: Solve for x
   x = 35,397,694,377.56/117,855
6. Step 6: Final answer
   x = 300,349.53