Finding the Third Proportional to 54,315 and 113,820

Step by Step Solution

1. Step 1: Write the proportion equation
   54,315 : 113,820 = 113,820 : x
2. Step 2: Convert to fraction form
   54,315/113,820 = 113,820/x
3. Step 3: Cross multiply
   54,315x = 113,820 × 113,820
4. Step 4: Simplify right side
   54,315x = 12,954,992,400
5. Step 5: Solve for x
   x = 12,954,992,400/54,315
6. Step 6: Final answer
   x = 238,515.92