Finding the Third Proportional to 99,230 and 214,010

Step by Step Solution

1. Step 1: Write the proportion equation
   99,230 : 214,010 = 214,010 : x
2. Step 2: Convert to fraction form
   99,230/214,010 = 214,010/x
3. Step 3: Cross multiply
   99,230x = 214,010 × 214,010
4. Step 4: Simplify right side
   99,230x = 45,800,280,100
5. Step 5: Solve for x
   x = 45,800,280,100/99,230
6. Step 6: Final answer
   x = 461,556.79