Finding the Third Proportional to 109,200 and 230,064

Step by Step Solution

1. Step 1: Write the proportion equation
   109,200 : 230,064 = 230,064 : x
2. Step 2: Convert to fraction form
   109,200/230,064 = 230,064/x
3. Step 3: Cross multiply
   109,200x = 230,064 × 230,064
4. Step 4: Simplify right side
   109,200x = 52,929,444,096
5. Step 5: Solve for x
   x = 52,929,444,096/109,200
6. Step 6: Final answer
   x = 484,701.87