Finding the Third Proportional to 46,180 and 100,680

Step by Step Solution

1. Step 1: Write the proportion equation
   46,180 : 100,680 = 100,680 : x
2. Step 2: Convert to fraction form
   46,180/100,680 = 100,680/x
3. Step 3: Cross multiply
   46,180x = 100,680 × 100,680
4. Step 4: Simplify right side
   46,180x = 10,136,462,400
5. Step 5: Solve for x
   x = 10,136,462,400/46,180
6. Step 6: Final answer
   x = 219,498.97