Finding the Third Proportional to 145,816 and 224,943.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,816 : 224,943.50 = 224,943.50 : x
2. Step 2: Convert to fraction form
   145,816/224,943.50 = 224,943.50/x
3. Step 3: Cross multiply
   145,816x = 224,943.50 × 224,943.50
4. Step 4: Simplify right side
   145,816x = 50,599,578,192.25
5. Step 5: Solve for x
   x = 50,599,578,192.25/145,816
6. Step 6: Final answer
   x = 347,009.78