Finding the Third Proportional to 55,226 and 120,118

Step by Step Solution

1. Step 1: Write the proportion equation
   55,226 : 120,118 = 120,118 : x
2. Step 2: Convert to fraction form
   55,226/120,118 = 120,118/x
3. Step 3: Cross multiply
   55,226x = 120,118 × 120,118
4. Step 4: Simplify right side
   55,226x = 14,428,333,924
5. Step 5: Solve for x
   x = 14,428,333,924/55,226
6. Step 6: Final answer
   x = 261,259.80