Finding the Third Proportional to 49,205 and 76,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,205 : 76,399.50 = 76,399.50 : x
2. Step 2: Convert to fraction form
   49,205/76,399.50 = 76,399.50/x
3. Step 3: Cross multiply
   49,205x = 76,399.50 × 76,399.50
4. Step 4: Simplify right side
   49,205x = 5,836,883,600.25
5. Step 5: Solve for x
   x = 5,836,883,600.25/49,205
6. Step 6: Final answer
   x = 118,623.79