Finding the Third Proportional to 55,116 and 120,786

Step by Step Solution

1. Step 1: Write the proportion equation
   55,116 : 120,786 = 120,786 : x
2. Step 2: Convert to fraction form
   55,116/120,786 = 120,786/x
3. Step 3: Cross multiply
   55,116x = 120,786 × 120,786
4. Step 4: Simplify right side
   55,116x = 14,589,257,796
5. Step 5: Solve for x
   x = 14,589,257,796/55,116
6. Step 6: Final answer
   x = 264,700.95