Finding the Third Proportional to 109,201.50 and 224,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,201.50 : 224,410.50 = 224,410.50 : x
2. Step 2: Convert to fraction form
   109,201.50/224,410.50 = 224,410.50/x
3. Step 3: Cross multiply
   109,201.50x = 224,410.50 × 224,410.50
4. Step 4: Simplify right side
   109,201.50x = 50,360,072,510.25
5. Step 5: Solve for x
   x = 50,360,072,510.25/109,201.50
6. Step 6: Final answer
   x = 461,166.49