Finding the Third Proportional to 40,824 and 89,136

Step by Step Solution

1. Step 1: Write the proportion equation
   40,824 : 89,136 = 89,136 : x
2. Step 2: Convert to fraction form
   40,824/89,136 = 89,136/x
3. Step 3: Cross multiply
   40,824x = 89,136 × 89,136
4. Step 4: Simplify right side
   40,824x = 7,945,226,496
5. Step 5: Solve for x
   x = 7,945,226,496/40,824
6. Step 6: Final answer
   x = 194,621.46