Finding the Third Proportional to 50,519 and 78,438

Step by Step Solution

1. Step 1: Write the proportion equation
   50,519 : 78,438 = 78,438 : x
2. Step 2: Convert to fraction form
   50,519/78,438 = 78,438/x
3. Step 3: Cross multiply
   50,519x = 78,438 × 78,438
4. Step 4: Simplify right side
   50,519x = 6,152,519,844
5. Step 5: Solve for x
   x = 6,152,519,844/50,519
6. Step 6: Final answer
   x = 121,786.26