Finding the Third Proportional to 50,478 and 70,780

Step by Step Solution

1. Step 1: Write the proportion equation
   50,478 : 70,780 = 70,780 : x
2. Step 2: Convert to fraction form
   50,478/70,780 = 70,780/x
3. Step 3: Cross multiply
   50,478x = 70,780 × 70,780
4. Step 4: Simplify right side
   50,478x = 5,009,808,400
5. Step 5: Solve for x
   x = 5,009,808,400/50,478
6. Step 6: Final answer
   x = 99,247.36