Finding the Third Proportional to 50,400 and 78,888

Step by Step Solution

1. Step 1: Write the proportion equation
   50,400 : 78,888 = 78,888 : x
2. Step 2: Convert to fraction form
   50,400/78,888 = 78,888/x
3. Step 3: Cross multiply
   50,400x = 78,888 × 78,888
4. Step 4: Simplify right side
   50,400x = 6,223,316,544
5. Step 5: Solve for x
   x = 6,223,316,544/50,400
6. Step 6: Final answer
   x = 123,478.50