Finding the Third Proportional to 52,840 and 116,064

Step by Step Solution

1. Step 1: Write the proportion equation
   52,840 : 116,064 = 116,064 : x
2. Step 2: Convert to fraction form
   52,840/116,064 = 116,064/x
3. Step 3: Cross multiply
   52,840x = 116,064 × 116,064
4. Step 4: Simplify right side
   52,840x = 13,470,852,096
5. Step 5: Solve for x
   x = 13,470,852,096/52,840
6. Step 6: Final answer
   x = 254,936.64