Finding the Third Proportional to 76,960 and 111,361

Step by Step Solution

1. Step 1: Write the proportion equation
   76,960 : 111,361 = 111,361 : x
2. Step 2: Convert to fraction form
   76,960/111,361 = 111,361/x
3. Step 3: Cross multiply
   76,960x = 111,361 × 111,361
4. Step 4: Simplify right side
   76,960x = 12,401,272,321
5. Step 5: Solve for x
   x = 12,401,272,321/76,960
6. Step 6: Final answer
   x = 161,139.19