Finding the Third Proportional to 108,624 and 227,178

Step by Step Solution

1. Step 1: Write the proportion equation
   108,624 : 227,178 = 227,178 : x
2. Step 2: Convert to fraction form
   108,624/227,178 = 227,178/x
3. Step 3: Cross multiply
   108,624x = 227,178 × 227,178
4. Step 4: Simplify right side
   108,624x = 51,609,843,684
5. Step 5: Solve for x
   x = 51,609,843,684/108,624
6. Step 6: Final answer
   x = 475,123.76