Finding the Third Proportional to 145,824 and 224,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,824 : 224,944.50 = 224,944.50 : x
2. Step 2: Convert to fraction form
   145,824/224,944.50 = 224,944.50/x
3. Step 3: Cross multiply
   145,824x = 224,944.50 × 224,944.50
4. Step 4: Simplify right side
   145,824x = 50,600,028,080.25
5. Step 5: Solve for x
   x = 50,600,028,080.25/145,824
6. Step 6: Final answer
   x = 346,993.83