Finding the Third Proportional to 50,345 and 117,581

Step by Step Solution

1. Step 1: Write the proportion equation
   50,345 : 117,581 = 117,581 : x
2. Step 2: Convert to fraction form
   50,345/117,581 = 117,581/x
3. Step 3: Cross multiply
   50,345x = 117,581 × 117,581
4. Step 4: Simplify right side
   50,345x = 13,825,291,561
5. Step 5: Solve for x
   x = 13,825,291,561/50,345
6. Step 6: Final answer
   x = 274,611.02