Finding the Third Proportional to 50,640 and 78,606

Step by Step Solution

1. Step 1: Write the proportion equation
   50,640 : 78,606 = 78,606 : x
2. Step 2: Convert to fraction form
   50,640/78,606 = 78,606/x
3. Step 3: Cross multiply
   50,640x = 78,606 × 78,606
4. Step 4: Simplify right side
   50,640x = 6,178,903,236
5. Step 5: Solve for x
   x = 6,178,903,236/50,640
6. Step 6: Final answer
   x = 122,016.26