Finding the Third Proportional to 50,916 and 120,386

Step by Step Solution

1. Step 1: Write the proportion equation
   50,916 : 120,386 = 120,386 : x
2. Step 2: Convert to fraction form
   50,916/120,386 = 120,386/x
3. Step 3: Cross multiply
   50,916x = 120,386 × 120,386
4. Step 4: Simplify right side
   50,916x = 14,492,788,996
5. Step 5: Solve for x
   x = 14,492,788,996/50,916
6. Step 6: Final answer
   x = 284,641.15