Finding the Third Proportional to 99,231 and 214,014

Step by Step Solution

1. Step 1: Write the proportion equation
   99,231 : 214,014 = 214,014 : x
2. Step 2: Convert to fraction form
   99,231/214,014 = 214,014/x
3. Step 3: Cross multiply
   99,231x = 214,014 × 214,014
4. Step 4: Simplify right side
   99,231x = 45,801,992,196
5. Step 5: Solve for x
   x = 45,801,992,196/99,231
6. Step 6: Final answer
   x = 461,569.39