Finding the Third Proportional to 105,020 and 227,536

Step by Step Solution

1. Step 1: Write the proportion equation
   105,020 : 227,536 = 227,536 : x
2. Step 2: Convert to fraction form
   105,020/227,536 = 227,536/x
3. Step 3: Cross multiply
   105,020x = 227,536 × 227,536
4. Step 4: Simplify right side
   105,020x = 51,772,631,296
5. Step 5: Solve for x
   x = 51,772,631,296/105,020
6. Step 6: Final answer
   x = 492,978.78