Finding the Third Proportional to 50,786 and 77,260

Step by Step Solution

1. Step 1: Write the proportion equation
   50,786 : 77,260 = 77,260 : x
2. Step 2: Convert to fraction form
   50,786/77,260 = 77,260/x
3. Step 3: Cross multiply
   50,786x = 77,260 × 77,260
4. Step 4: Simplify right side
   50,786x = 5,969,107,600
5. Step 5: Solve for x
   x = 5,969,107,600/50,786
6. Step 6: Final answer
   x = 117,534.51