Finding the Third Proportional to 55,430 and 114,802

Step by Step Solution

1. Step 1: Write the proportion equation
   55,430 : 114,802 = 114,802 : x
2. Step 2: Convert to fraction form
   55,430/114,802 = 114,802/x
3. Step 3: Cross multiply
   55,430x = 114,802 × 114,802
4. Step 4: Simplify right side
   55,430x = 13,179,499,204
5. Step 5: Solve for x
   x = 13,179,499,204/55,430
6. Step 6: Final answer
   x = 237,768.34