Finding the Third Proportional to 145,260 and 213,458.63

Step by Step Solution

1. Step 1: Write the proportion equation
   145,260 : 213,458.63 = 213,458.63 : x
2. Step 2: Convert to fraction form
   145,260/213,458.63 = 213,458.63/x
3. Step 3: Cross multiply
   145,260x = 213,458.63 × 213,458.63
4. Step 4: Simplify right side
   145,260x = 45,564,584,586.89
5. Step 5: Solve for x
   x = 45,564,584,586.89/145,260
6. Step 6: Final answer
   x = 313,676.06