Finding the Third Proportional to 50,727 and 78,854

Step by Step Solution

1. Step 1: Write the proportion equation
   50,727 : 78,854 = 78,854 : x
2. Step 2: Convert to fraction form
   50,727/78,854 = 78,854/x
3. Step 3: Cross multiply
   50,727x = 78,854 × 78,854
4. Step 4: Simplify right side
   50,727x = 6,217,953,316
5. Step 5: Solve for x
   x = 6,217,953,316/50,727
6. Step 6: Final answer
   x = 122,576.80