Finding the Third Proportional to 106,728 and 226,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,728 : 226,597.50 = 226,597.50 : x
2. Step 2: Convert to fraction form
   106,728/226,597.50 = 226,597.50/x
3. Step 3: Cross multiply
   106,728x = 226,597.50 × 226,597.50
4. Step 4: Simplify right side
   106,728x = 51,346,427,006.25
5. Step 5: Solve for x
   x = 51,346,427,006.25/106,728
6. Step 6: Final answer
   x = 481,096.12