Finding the Third Proportional to 50,002 and 77,391

Step by Step Solution

1. Step 1: Write the proportion equation
   50,002 : 77,391 = 77,391 : x
2. Step 2: Convert to fraction form
   50,002/77,391 = 77,391/x
3. Step 3: Cross multiply
   50,002x = 77,391 × 77,391
4. Step 4: Simplify right side
   50,002x = 5,989,366,881
5. Step 5: Solve for x
   x = 5,989,366,881/50,002
6. Step 6: Final answer
   x = 119,782.55