Finding the Third Proportional to 90,592 and 195,056

Step by Step Solution

1. Step 1: Write the proportion equation
   90,592 : 195,056 = 195,056 : x
2. Step 2: Convert to fraction form
   90,592/195,056 = 195,056/x
3. Step 3: Cross multiply
   90,592x = 195,056 × 195,056
4. Step 4: Simplify right side
   90,592x = 38,046,843,136
5. Step 5: Solve for x
   x = 38,046,843,136/90,592
6. Step 6: Final answer
   x = 419,980.17