Finding the Third Proportional to 50,989 and 109,361

Step by Step Solution

1. Step 1: Write the proportion equation
   50,989 : 109,361 = 109,361 : x
2. Step 2: Convert to fraction form
   50,989/109,361 = 109,361/x
3. Step 3: Cross multiply
   50,989x = 109,361 × 109,361
4. Step 4: Simplify right side
   50,989x = 11,959,828,321
5. Step 5: Solve for x
   x = 11,959,828,321/50,989
6. Step 6: Final answer
   x = 234,557.03