Finding the Third Proportional to 51,858 and 77,456

Step by Step Solution

1. Step 1: Write the proportion equation
   51,858 : 77,456 = 77,456 : x
2. Step 2: Convert to fraction form
   51,858/77,456 = 77,456/x
3. Step 3: Cross multiply
   51,858x = 77,456 × 77,456
4. Step 4: Simplify right side
   51,858x = 5,999,431,936
5. Step 5: Solve for x
   x = 5,999,431,936/51,858
6. Step 6: Final answer
   x = 115,689.61