Finding the Third Proportional to 49,180 and 106,700

Step by Step Solution

1. Step 1: Write the proportion equation
   49,180 : 106,700 = 106,700 : x
2. Step 2: Convert to fraction form
   49,180/106,700 = 106,700/x
3. Step 3: Cross multiply
   49,180x = 106,700 × 106,700
4. Step 4: Simplify right side
   49,180x = 11,384,890,000
5. Step 5: Solve for x
   x = 11,384,890,000/49,180
6. Step 6: Final answer
   x = 231,494.31