Finding the Third Proportional to 99,900 and 214,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,900 : 214,015.50 = 214,015.50 : x
2. Step 2: Convert to fraction form
   99,900/214,015.50 = 214,015.50/x
3. Step 3: Cross multiply
   99,900x = 214,015.50 × 214,015.50
4. Step 4: Simplify right side
   99,900x = 45,802,634,240.25
5. Step 5: Solve for x
   x = 45,802,634,240.25/99,900
6. Step 6: Final answer
   x = 458,484.83