Finding the Third Proportional to 106,554 and 223,314

Step by Step Solution

1. Step 1: Write the proportion equation
   106,554 : 223,314 = 223,314 : x
2. Step 2: Convert to fraction form
   106,554/223,314 = 223,314/x
3. Step 3: Cross multiply
   106,554x = 223,314 × 223,314
4. Step 4: Simplify right side
   106,554x = 49,869,142,596
5. Step 5: Solve for x
   x = 49,869,142,596/106,554
6. Step 6: Final answer
   x = 468,017.56