Finding the Third Proportional to 50,542 and 77,358

Step by Step Solution

1. Step 1: Write the proportion equation
   50,542 : 77,358 = 77,358 : x
2. Step 2: Convert to fraction form
   50,542/77,358 = 77,358/x
3. Step 3: Cross multiply
   50,542x = 77,358 × 77,358
4. Step 4: Simplify right side
   50,542x = 5,984,260,164
5. Step 5: Solve for x
   x = 5,984,260,164/50,542
6. Step 6: Final answer
   x = 118,401.73