Finding the Third Proportional to 54,513 and 113,967

Step by Step Solution

1. Step 1: Write the proportion equation
   54,513 : 113,967 = 113,967 : x
2. Step 2: Convert to fraction form
   54,513/113,967 = 113,967/x
3. Step 3: Cross multiply
   54,513x = 113,967 × 113,967
4. Step 4: Simplify right side
   54,513x = 12,988,477,089
5. Step 5: Solve for x
   x = 12,988,477,089/54,513
6. Step 6: Final answer
   x = 238,263.85