Finding the Third Proportional to 55,564 and 113,192

Step by Step Solution

1. Step 1: Write the proportion equation
   55,564 : 113,192 = 113,192 : x
2. Step 2: Convert to fraction form
   55,564/113,192 = 113,192/x
3. Step 3: Cross multiply
   55,564x = 113,192 × 113,192
4. Step 4: Simplify right side
   55,564x = 12,812,428,864
5. Step 5: Solve for x
   x = 12,812,428,864/55,564
6. Step 6: Final answer
   x = 230,588.67