Finding the Third Proportional to 50,384 and 78,640

Step by Step Solution

1. Step 1: Write the proportion equation
   50,384 : 78,640 = 78,640 : x
2. Step 2: Convert to fraction form
   50,384/78,640 = 78,640/x
3. Step 3: Cross multiply
   50,384x = 78,640 × 78,640
4. Step 4: Simplify right side
   50,384x = 6,184,249,600
5. Step 5: Solve for x
   x = 6,184,249,600/50,384
6. Step 6: Final answer
   x = 122,742.33