Finding the Third Proportional to 141,526 and 227,256

Step by Step Solution

1. Step 1: Write the proportion equation
   141,526 : 227,256 = 227,256 : x
2. Step 2: Convert to fraction form
   141,526/227,256 = 227,256/x
3. Step 3: Cross multiply
   141,526x = 227,256 × 227,256
4. Step 4: Simplify right side
   141,526x = 51,645,289,536
5. Step 5: Solve for x
   x = 51,645,289,536/141,526
6. Step 6: Final answer
   x = 364,917.33