Finding the Third Proportional to 99,565 and 214,978

Step by Step Solution

1. Step 1: Write the proportion equation
   99,565 : 214,978 = 214,978 : x
2. Step 2: Convert to fraction form
   99,565/214,978 = 214,978/x
3. Step 3: Cross multiply
   99,565x = 214,978 × 214,978
4. Step 4: Simplify right side
   99,565x = 46,215,540,484
5. Step 5: Solve for x
   x = 46,215,540,484/99,565
6. Step 6: Final answer
   x = 464,174.56