Finding the Third Proportional to 49,980 and 107,064

Step by Step Solution

1. Step 1: Write the proportion equation
   49,980 : 107,064 = 107,064 : x
2. Step 2: Convert to fraction form
   49,980/107,064 = 107,064/x
3. Step 3: Cross multiply
   49,980x = 107,064 × 107,064
4. Step 4: Simplify right side
   49,980x = 11,462,700,096
5. Step 5: Solve for x
   x = 11,462,700,096/49,980
6. Step 6: Final answer
   x = 229,345.74