Finding the Third Proportional to 50,376 and 78,627

Step by Step Solution

1. Step 1: Write the proportion equation
   50,376 : 78,627 = 78,627 : x
2. Step 2: Convert to fraction form
   50,376/78,627 = 78,627/x
3. Step 3: Cross multiply
   50,376x = 78,627 × 78,627
4. Step 4: Simplify right side
   50,376x = 6,182,205,129
5. Step 5: Solve for x
   x = 6,182,205,129/50,376
6. Step 6: Final answer
   x = 122,721.24