Finding the Third Proportional to 54,056 and 112,414

Step by Step Solution

1. Step 1: Write the proportion equation
   54,056 : 112,414 = 112,414 : x
2. Step 2: Convert to fraction form
   54,056/112,414 = 112,414/x
3. Step 3: Cross multiply
   54,056x = 112,414 × 112,414
4. Step 4: Simplify right side
   54,056x = 12,636,907,396
5. Step 5: Solve for x
   x = 12,636,907,396/54,056
6. Step 6: Final answer
   x = 233,774.37