Finding the Third Proportional to 105,597 and 219,931

Step by Step Solution

1. Step 1: Write the proportion equation
   105,597 : 219,931 = 219,931 : x
2. Step 2: Convert to fraction form
   105,597/219,931 = 219,931/x
3. Step 3: Cross multiply
   105,597x = 219,931 × 219,931
4. Step 4: Simplify right side
   105,597x = 48,369,644,761
5. Step 5: Solve for x
   x = 48,369,644,761/105,597
6. Step 6: Final answer
   x = 458,058.89