Finding the Third Proportional to 50,460 and 78,078

Step by Step Solution

1. Step 1: Write the proportion equation
   50,460 : 78,078 = 78,078 : x
2. Step 2: Convert to fraction form
   50,460/78,078 = 78,078/x
3. Step 3: Cross multiply
   50,460x = 78,078 × 78,078
4. Step 4: Simplify right side
   50,460x = 6,096,174,084
5. Step 5: Solve for x
   x = 6,096,174,084/50,460
6. Step 6: Final answer
   x = 120,812.01