Finding the Third Proportional to 51,848 and 114,064

Step by Step Solution

1. Step 1: Write the proportion equation
   51,848 : 114,064 = 114,064 : x
2. Step 2: Convert to fraction form
   51,848/114,064 = 114,064/x
3. Step 3: Cross multiply
   51,848x = 114,064 × 114,064
4. Step 4: Simplify right side
   51,848x = 13,010,596,096
5. Step 5: Solve for x
   x = 13,010,596,096/51,848
6. Step 6: Final answer
   x = 250,937.28