Finding the Third Proportional to 49,674 and 107,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,674 : 107,635.50 = 107,635.50 : x
2. Step 2: Convert to fraction form
   49,674/107,635.50 = 107,635.50/x
3. Step 3: Cross multiply
   49,674x = 107,635.50 × 107,635.50
4. Step 4: Simplify right side
   49,674x = 11,585,400,860.25
5. Step 5: Solve for x
   x = 11,585,400,860.25/49,674
6. Step 6: Final answer
   x = 233,228.67