Finding the Third Proportional to 49,896 and 109,170

Step by Step Solution

1. Step 1: Write the proportion equation
   49,896 : 109,170 = 109,170 : x
2. Step 2: Convert to fraction form
   49,896/109,170 = 109,170/x
3. Step 3: Cross multiply
   49,896x = 109,170 × 109,170
4. Step 4: Simplify right side
   49,896x = 11,918,088,900
5. Step 5: Solve for x
   x = 11,918,088,900/49,896
6. Step 6: Final answer
   x = 238,858.60