Finding the Third Proportional to 46,834 and 101,980

Step by Step Solution

1. Step 1: Write the proportion equation
   46,834 : 101,980 = 101,980 : x
2. Step 2: Convert to fraction form
   46,834/101,980 = 101,980/x
3. Step 3: Cross multiply
   46,834x = 101,980 × 101,980
4. Step 4: Simplify right side
   46,834x = 10,399,920,400
5. Step 5: Solve for x
   x = 10,399,920,400/46,834
6. Step 6: Final answer
   x = 222,059.20