Finding the Third Proportional to 50,906 and 76,365

Step by Step Solution

1. Step 1: Write the proportion equation
   50,906 : 76,365 = 76,365 : x
2. Step 2: Convert to fraction form
   50,906/76,365 = 76,365/x
3. Step 3: Cross multiply
   50,906x = 76,365 × 76,365
4. Step 4: Simplify right side
   50,906x = 5,831,613,225
5. Step 5: Solve for x
   x = 5,831,613,225/50,906
6. Step 6: Final answer
   x = 114,556.50