Finding the Third Proportional to 50,114 and 77,059

Step by Step Solution

1. Step 1: Write the proportion equation
   50,114 : 77,059 = 77,059 : x
2. Step 2: Convert to fraction form
   50,114/77,059 = 77,059/x
3. Step 3: Cross multiply
   50,114x = 77,059 × 77,059
4. Step 4: Simplify right side
   50,114x = 5,938,089,481
5. Step 5: Solve for x
   x = 5,938,089,481/50,114
6. Step 6: Final answer
   x = 118,491.63