Finding the Third Proportional to 112,644 and 211,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,644 : 211,099.50 = 211,099.50 : x
2. Step 2: Convert to fraction form
   112,644/211,099.50 = 211,099.50/x
3. Step 3: Cross multiply
   112,644x = 211,099.50 × 211,099.50
4. Step 4: Simplify right side
   112,644x = 44,562,998,900.25
5. Step 5: Solve for x
   x = 44,562,998,900.25/112,644
6. Step 6: Final answer
   x = 395,609.17