Finding the Third Proportional to 50,870 and 77,823

Step by Step Solution

1. Step 1: Write the proportion equation
   50,870 : 77,823 = 77,823 : x
2. Step 2: Convert to fraction form
   50,870/77,823 = 77,823/x
3. Step 3: Cross multiply
   50,870x = 77,823 × 77,823
4. Step 4: Simplify right side
   50,870x = 6,056,419,329
5. Step 5: Solve for x
   x = 6,056,419,329/50,870
6. Step 6: Final answer
   x = 119,056.80