Finding the Third Proportional to 91,978 and 196,178

Step by Step Solution

1. Step 1: Write the proportion equation
   91,978 : 196,178 = 196,178 : x
2. Step 2: Convert to fraction form
   91,978/196,178 = 196,178/x
3. Step 3: Cross multiply
   91,978x = 196,178 × 196,178
4. Step 4: Simplify right side
   91,978x = 38,485,807,684
5. Step 5: Solve for x
   x = 38,485,807,684/91,978
6. Step 6: Final answer
   x = 418,424.05