Finding the Third Proportional to 106,542 and 226,222.88

Step by Step Solution

1. Step 1: Write the proportion equation
   106,542 : 226,222.88 = 226,222.88 : x
2. Step 2: Convert to fraction form
   106,542/226,222.88 = 226,222.88/x
3. Step 3: Cross multiply
   106,542x = 226,222.88 × 226,222.88
4. Step 4: Simplify right side
   106,542x = 51,176,789,173.27
5. Step 5: Solve for x
   x = 51,176,789,173.27/106,542
6. Step 6: Final answer
   x = 480,343.80