Finding the Third Proportional to 50,959 and 77,208

Step by Step Solution

1. Step 1: Write the proportion equation
   50,959 : 77,208 = 77,208 : x
2. Step 2: Convert to fraction form
   50,959/77,208 = 77,208/x
3. Step 3: Cross multiply
   50,959x = 77,208 × 77,208
4. Step 4: Simplify right side
   50,959x = 5,961,075,264
5. Step 5: Solve for x
   x = 5,961,075,264/50,959
6. Step 6: Final answer
   x = 116,977.87