Finding the Third Proportional to 49,773 and 77,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,773 : 77,179.50 = 77,179.50 : x
2. Step 2: Convert to fraction form
   49,773/77,179.50 = 77,179.50/x
3. Step 3: Cross multiply
   49,773x = 77,179.50 × 77,179.50
4. Step 4: Simplify right side
   49,773x = 5,956,675,220.25
5. Step 5: Solve for x
   x = 5,956,675,220.25/49,773
6. Step 6: Final answer
   x = 119,676.84