Finding the Third Proportional to 55,947 and 109,059

Step by Step Solution

1. Step 1: Write the proportion equation
   55,947 : 109,059 = 109,059 : x
2. Step 2: Convert to fraction form
   55,947/109,059 = 109,059/x
3. Step 3: Cross multiply
   55,947x = 109,059 × 109,059
4. Step 4: Simplify right side
   55,947x = 11,893,865,481
5. Step 5: Solve for x
   x = 11,893,865,481/55,947
6. Step 6: Final answer
   x = 212,591.66