Finding the Third Proportional to 91,215 and 196,056

Step by Step Solution

1. Step 1: Write the proportion equation
   91,215 : 196,056 = 196,056 : x
2. Step 2: Convert to fraction form
   91,215/196,056 = 196,056/x
3. Step 3: Cross multiply
   91,215x = 196,056 × 196,056
4. Step 4: Simplify right side
   91,215x = 38,437,955,136
5. Step 5: Solve for x
   x = 38,437,955,136/91,215
6. Step 6: Final answer
   x = 421,399.50