Finding the Third Proportional to 49,446 and 76,680

Step by Step Solution

1. Step 1: Write the proportion equation
   49,446 : 76,680 = 76,680 : x
2. Step 2: Convert to fraction form
   49,446/76,680 = 76,680/x
3. Step 3: Cross multiply
   49,446x = 76,680 × 76,680
4. Step 4: Simplify right side
   49,446x = 5,879,822,400
5. Step 5: Solve for x
   x = 5,879,822,400/49,446
6. Step 6: Final answer
   x = 118,914.02