Finding the Third Proportional to 91,584 and 196,956

Step by Step Solution

1. Step 1: Write the proportion equation
   91,584 : 196,956 = 196,956 : x
2. Step 2: Convert to fraction form
   91,584/196,956 = 196,956/x
3. Step 3: Cross multiply
   91,584x = 196,956 × 196,956
4. Step 4: Simplify right side
   91,584x = 38,791,665,936
5. Step 5: Solve for x
   x = 38,791,665,936/91,584
6. Step 6: Final answer
   x = 423,563.79