Finding the Third Proportional to 50,793 and 77,322

Step by Step Solution

1. Step 1: Write the proportion equation
   50,793 : 77,322 = 77,322 : x
2. Step 2: Convert to fraction form
   50,793/77,322 = 77,322/x
3. Step 3: Cross multiply
   50,793x = 77,322 × 77,322
4. Step 4: Simplify right side
   50,793x = 5,978,691,684
5. Step 5: Solve for x
   x = 5,978,691,684/50,793
6. Step 6: Final answer
   x = 117,707.00