Finding the Third Proportional to 109,818 and 223,630

Step by Step Solution

1. Step 1: Write the proportion equation
   109,818 : 223,630 = 223,630 : x
2. Step 2: Convert to fraction form
   109,818/223,630 = 223,630/x
3. Step 3: Cross multiply
   109,818x = 223,630 × 223,630
4. Step 4: Simplify right side
   109,818x = 50,010,376,900
5. Step 5: Solve for x
   x = 50,010,376,900/109,818
6. Step 6: Final answer
   x = 455,393.26