Finding the Third Proportional to 55,896 and 113,412

Step by Step Solution

1. Step 1: Write the proportion equation
   55,896 : 113,412 = 113,412 : x
2. Step 2: Convert to fraction form
   55,896/113,412 = 113,412/x
3. Step 3: Cross multiply
   55,896x = 113,412 × 113,412
4. Step 4: Simplify right side
   55,896x = 12,862,281,744
5. Step 5: Solve for x
   x = 12,862,281,744/55,896
6. Step 6: Final answer
   x = 230,110.95