Finding the Third Proportional to 48,490 and 105,980

Step by Step Solution

1. Step 1: Write the proportion equation
   48,490 : 105,980 = 105,980 : x
2. Step 2: Convert to fraction form
   48,490/105,980 = 105,980/x
3. Step 3: Cross multiply
   48,490x = 105,980 × 105,980
4. Step 4: Simplify right side
   48,490x = 11,231,760,400
5. Step 5: Solve for x
   x = 11,231,760,400/48,490
6. Step 6: Final answer
   x = 231,630.45