Finding the Third Proportional to 42,178.75 and 91,738.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,178.75 : 91,738.25 = 91,738.25 : x
2. Step 2: Convert to fraction form
   42,178.75/91,738.25 = 91,738.25/x
3. Step 3: Cross multiply
   42,178.75x = 91,738.25 × 91,738.25
4. Step 4: Simplify right side
   42,178.75x = 8,415,906,513.06
5. Step 5: Solve for x
   x = 8,415,906,513.06/42,178.75
6. Step 6: Final answer
   x = 199,529.54