Finding the Third Proportional to 99,932 and 214,032

Step by Step Solution

1. Step 1: Write the proportion equation
   99,932 : 214,032 = 214,032 : x
2. Step 2: Convert to fraction form
   99,932/214,032 = 214,032/x
3. Step 3: Cross multiply
   99,932x = 214,032 × 214,032
4. Step 4: Simplify right side
   99,932x = 45,809,697,024
5. Step 5: Solve for x
   x = 45,809,697,024/99,932
6. Step 6: Final answer
   x = 458,408.69