Finding the Third Proportional to 50,458 and 78,075

Step by Step Solution

1. Step 1: Write the proportion equation
   50,458 : 78,075 = 78,075 : x
2. Step 2: Convert to fraction form
   50,458/78,075 = 78,075/x
3. Step 3: Cross multiply
   50,458x = 78,075 × 78,075
4. Step 4: Simplify right side
   50,458x = 6,095,705,625
5. Step 5: Solve for x
   x = 6,095,705,625/50,458
6. Step 6: Final answer
   x = 120,807.52