Finding the Third Proportional to 49,158 and 107,064

Step by Step Solution

1. Step 1: Write the proportion equation
   49,158 : 107,064 = 107,064 : x
2. Step 2: Convert to fraction form
   49,158/107,064 = 107,064/x
3. Step 3: Cross multiply
   49,158x = 107,064 × 107,064
4. Step 4: Simplify right side
   49,158x = 11,462,700,096
5. Step 5: Solve for x
   x = 11,462,700,096/49,158
6. Step 6: Final answer
   x = 233,180.77