Finding the Third Proportional to 145,536 and 313,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,536 : 313,204.50 = 313,204.50 : x
2. Step 2: Convert to fraction form
   145,536/313,204.50 = 313,204.50/x
3. Step 3: Cross multiply
   145,536x = 313,204.50 × 313,204.50
4. Step 4: Simplify right side
   145,536x = 98,097,058,820.25
5. Step 5: Solve for x
   x = 98,097,058,820.25/145,536
6. Step 6: Final answer
   x = 674,039.82