Finding the Third Proportional to 49,105 and 75,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,105 : 75,574.50 = 75,574.50 : x
2. Step 2: Convert to fraction form
   49,105/75,574.50 = 75,574.50/x
3. Step 3: Cross multiply
   49,105x = 75,574.50 × 75,574.50
4. Step 4: Simplify right side
   49,105x = 5,711,505,050.25
5. Step 5: Solve for x
   x = 5,711,505,050.25/49,105
6. Step 6: Final answer
   x = 116,312.09