Finding the Third Proportional to 55,384 and 120,116

Step by Step Solution

1. Step 1: Write the proportion equation
   55,384 : 120,116 = 120,116 : x
2. Step 2: Convert to fraction form
   55,384/120,116 = 120,116/x
3. Step 3: Cross multiply
   55,384x = 120,116 × 120,116
4. Step 4: Simplify right side
   55,384x = 14,427,853,456
5. Step 5: Solve for x
   x = 14,427,853,456/55,384
6. Step 6: Final answer
   x = 260,505.80