Finding the Third Proportional to 50,456 and 78,072

Step by Step Solution

1. Step 1: Write the proportion equation
   50,456 : 78,072 = 78,072 : x
2. Step 2: Convert to fraction form
   50,456/78,072 = 78,072/x
3. Step 3: Cross multiply
   50,456x = 78,072 × 78,072
4. Step 4: Simplify right side
   50,456x = 6,095,237,184
5. Step 5: Solve for x
   x = 6,095,237,184/50,456
6. Step 6: Final answer
   x = 120,803.02