Finding the Third Proportional to 91,282 and 196,608

Step by Step Solution

1. Step 1: Write the proportion equation
   91,282 : 196,608 = 196,608 : x
2. Step 2: Convert to fraction form
   91,282/196,608 = 196,608/x
3. Step 3: Cross multiply
   91,282x = 196,608 × 196,608
4. Step 4: Simplify right side
   91,282x = 38,654,705,664
5. Step 5: Solve for x
   x = 38,654,705,664/91,282
6. Step 6: Final answer
   x = 423,464.71