Finding the Third Proportional to 103,680 and 227,064

Step by Step Solution

1. Step 1: Write the proportion equation
   103,680 : 227,064 = 227,064 : x
2. Step 2: Convert to fraction form
   103,680/227,064 = 227,064/x
3. Step 3: Cross multiply
   103,680x = 227,064 × 227,064
4. Step 4: Simplify right side
   103,680x = 51,558,060,096
5. Step 5: Solve for x
   x = 51,558,060,096/103,680
6. Step 6: Final answer
   x = 497,280.67