Finding the Third Proportional to 50,786 and 77,312

Step by Step Solution

1. Step 1: Write the proportion equation
   50,786 : 77,312 = 77,312 : x
2. Step 2: Convert to fraction form
   50,786/77,312 = 77,312/x
3. Step 3: Cross multiply
   50,786x = 77,312 × 77,312
4. Step 4: Simplify right side
   50,786x = 5,977,145,344
5. Step 5: Solve for x
   x = 5,977,145,344/50,786
6. Step 6: Final answer
   x = 117,692.78