Finding the Third Proportional to 55,111 and 120,064

Step by Step Solution

1. Step 1: Write the proportion equation
   55,111 : 120,064 = 120,064 : x
2. Step 2: Convert to fraction form
   55,111/120,064 = 120,064/x
3. Step 3: Cross multiply
   55,111x = 120,064 × 120,064
4. Step 4: Simplify right side
   55,111x = 14,415,364,096
5. Step 5: Solve for x
   x = 14,415,364,096/55,111
6. Step 6: Final answer
   x = 261,569.63