Finding the Third Proportional to 50,522 and 78,442

Step by Step Solution

1. Step 1: Write the proportion equation
   50,522 : 78,442 = 78,442 : x
2. Step 2: Convert to fraction form
   50,522/78,442 = 78,442/x
3. Step 3: Cross multiply
   50,522x = 78,442 × 78,442
4. Step 4: Simplify right side
   50,522x = 6,153,147,364
5. Step 5: Solve for x
   x = 6,153,147,364/50,522
6. Step 6: Final answer
   x = 121,791.44