Finding the Third Proportional to 57,764 and 120,064

Step by Step Solution

1. Step 1: Write the proportion equation
   57,764 : 120,064 = 120,064 : x
2. Step 2: Convert to fraction form
   57,764/120,064 = 120,064/x
3. Step 3: Cross multiply
   57,764x = 120,064 × 120,064
4. Step 4: Simplify right side
   57,764x = 14,415,364,096
5. Step 5: Solve for x
   x = 14,415,364,096/57,764
6. Step 6: Final answer
   x = 249,556.20