Finding the Third Proportional to 38,216 and 78,880

Step by Step Solution

1. Step 1: Write the proportion equation
   38,216 : 78,880 = 78,880 : x
2. Step 2: Convert to fraction form
   38,216/78,880 = 78,880/x
3. Step 3: Cross multiply
   38,216x = 78,880 × 78,880
4. Step 4: Simplify right side
   38,216x = 6,222,054,400
5. Step 5: Solve for x
   x = 6,222,054,400/38,216
6. Step 6: Final answer
   x = 162,812.81