Finding the Third Proportional to 109,888 and 223,680

Step by Step Solution

1. Step 1: Write the proportion equation
   109,888 : 223,680 = 223,680 : x
2. Step 2: Convert to fraction form
   109,888/223,680 = 223,680/x
3. Step 3: Cross multiply
   109,888x = 223,680 × 223,680
4. Step 4: Simplify right side
   109,888x = 50,032,742,400
5. Step 5: Solve for x
   x = 50,032,742,400/109,888
6. Step 6: Final answer
   x = 455,306.70