Finding the Third Proportional to 145,116 and 218,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,116 : 218,524.50 = 218,524.50 : x
2. Step 2: Convert to fraction form
   145,116/218,524.50 = 218,524.50/x
3. Step 3: Cross multiply
   145,116x = 218,524.50 × 218,524.50
4. Step 4: Simplify right side
   145,116x = 47,752,957,100.25
5. Step 5: Solve for x
   x = 47,752,957,100.25/145,116
6. Step 6: Final answer
   x = 329,067.48