Finding the Third Proportional to 46,706 and 101,180

Step by Step Solution

1. Step 1: Write the proportion equation
   46,706 : 101,180 = 101,180 : x
2. Step 2: Convert to fraction form
   46,706/101,180 = 101,180/x
3. Step 3: Cross multiply
   46,706x = 101,180 × 101,180
4. Step 4: Simplify right side
   46,706x = 10,237,392,400
5. Step 5: Solve for x
   x = 10,237,392,400/46,706
6. Step 6: Final answer
   x = 219,187.95