Finding the Third Proportional to 50,968 and 78,724

Step by Step Solution

1. Step 1: Write the proportion equation
   50,968 : 78,724 = 78,724 : x
2. Step 2: Convert to fraction form
   50,968/78,724 = 78,724/x
3. Step 3: Cross multiply
   50,968x = 78,724 × 78,724
4. Step 4: Simplify right side
   50,968x = 6,197,468,176
5. Step 5: Solve for x
   x = 6,197,468,176/50,968
6. Step 6: Final answer
   x = 121,595.28