Finding the Third Proportional to 49,109.50 and 76,823.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,109.50 : 76,823.25 = 76,823.25 : x
2. Step 2: Convert to fraction form
   49,109.50/76,823.25 = 76,823.25/x
3. Step 3: Cross multiply
   49,109.50x = 76,823.25 × 76,823.25
4. Step 4: Simplify right side
   49,109.50x = 5,901,811,740.56
5. Step 5: Solve for x
   x = 5,901,811,740.56/49,109.50
6. Step 6: Final answer
   x = 120,176.58