Finding the Third Proportional to 106,495.50 and 227,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,495.50 : 227,200.50 = 227,200.50 : x
2. Step 2: Convert to fraction form
   106,495.50/227,200.50 = 227,200.50/x
3. Step 3: Cross multiply
   106,495.50x = 227,200.50 × 227,200.50
4. Step 4: Simplify right side
   106,495.50x = 51,620,067,200.25
5. Step 5: Solve for x
   x = 51,620,067,200.25/106,495.50
6. Step 6: Final answer
   x = 484,715.95