Finding the Third Proportional to 50,782 and 77,254

Step by Step Solution

1. Step 1: Write the proportion equation
   50,782 : 77,254 = 77,254 : x
2. Step 2: Convert to fraction form
   50,782/77,254 = 77,254/x
3. Step 3: Cross multiply
   50,782x = 77,254 × 77,254
4. Step 4: Simplify right side
   50,782x = 5,968,180,516
5. Step 5: Solve for x
   x = 5,968,180,516/50,782
6. Step 6: Final answer
   x = 117,525.51