Finding the Third Proportional to 49,860 and 109,106

Step by Step Solution

1. Step 1: Write the proportion equation
   49,860 : 109,106 = 109,106 : x
2. Step 2: Convert to fraction form
   49,860/109,106 = 109,106/x
3. Step 3: Cross multiply
   49,860x = 109,106 × 109,106
4. Step 4: Simplify right side
   49,860x = 11,904,119,236
5. Step 5: Solve for x
   x = 11,904,119,236/49,860
6. Step 6: Final answer
   x = 238,750.89