Finding the Third Proportional to 145,444.50 and 196,416

Step by Step Solution

1. Step 1: Write the proportion equation
   145,444.50 : 196,416 = 196,416 : x
2. Step 2: Convert to fraction form
   145,444.50/196,416 = 196,416/x
3. Step 3: Cross multiply
   145,444.50x = 196,416 × 196,416
4. Step 4: Simplify right side
   145,444.50x = 38,579,245,056
5. Step 5: Solve for x
   x = 38,579,245,056/145,444.50
6. Step 6: Final answer
   x = 265,250.63