Finding the Third Proportional to 105,072 and 224,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,072 : 224,905.50 = 224,905.50 : x
2. Step 2: Convert to fraction form
   105,072/224,905.50 = 224,905.50/x
3. Step 3: Cross multiply
   105,072x = 224,905.50 × 224,905.50
4. Step 4: Simplify right side
   105,072x = 50,582,483,930.25
5. Step 5: Solve for x
   x = 50,582,483,930.25/105,072
6. Step 6: Final answer
   x = 481,407.83