Finding the Third Proportional to 105,615 and 219,969

Step by Step Solution

1. Step 1: Write the proportion equation
   105,615 : 219,969 = 219,969 : x
2. Step 2: Convert to fraction form
   105,615/219,969 = 219,969/x
3. Step 3: Cross multiply
   105,615x = 219,969 × 219,969
4. Step 4: Simplify right side
   105,615x = 48,386,360,961
5. Step 5: Solve for x
   x = 48,386,360,961/105,615
6. Step 6: Final answer
   x = 458,139.10