Finding the Third Proportional to 89,024 and 208,064

Step by Step Solution

1. Step 1: Write the proportion equation
   89,024 : 208,064 = 208,064 : x
2. Step 2: Convert to fraction form
   89,024/208,064 = 208,064/x
3. Step 3: Cross multiply
   89,024x = 208,064 × 208,064
4. Step 4: Simplify right side
   89,024x = 43,290,628,096
5. Step 5: Solve for x
   x = 43,290,628,096/89,024
6. Step 6: Final answer
   x = 486,280.42