Finding the Third Proportional to 55,393.31 and 120,808.69

Step by Step Solution

1. Step 1: Write the proportion equation
   55,393.31 : 120,808.69 = 120,808.69 : x
2. Step 2: Convert to fraction form
   55,393.31/120,808.69 = 120,808.69/x
3. Step 3: Cross multiply
   55,393.31x = 120,808.69 × 120,808.69
4. Step 4: Simplify right side
   55,393.31x = 14,594,738,975.47
5. Step 5: Solve for x
   x = 14,594,738,975.47/55,393.31
6. Step 6: Final answer
   x = 263,474.75