Finding the Third Proportional to 50,880 and 78,714

Step by Step Solution

1. Step 1: Write the proportion equation
   50,880 : 78,714 = 78,714 : x
2. Step 2: Convert to fraction form
   50,880/78,714 = 78,714/x
3. Step 3: Cross multiply
   50,880x = 78,714 × 78,714
4. Step 4: Simplify right side
   50,880x = 6,195,893,796
5. Step 5: Solve for x
   x = 6,195,893,796/50,880
6. Step 6: Final answer
   x = 121,774.64