Finding the Third Proportional to 55,432 and 105,760

Step by Step Solution

1. Step 1: Write the proportion equation
   55,432 : 105,760 = 105,760 : x
2. Step 2: Convert to fraction form
   55,432/105,760 = 105,760/x
3. Step 3: Cross multiply
   55,432x = 105,760 × 105,760
4. Step 4: Simplify right side
   55,432x = 11,185,177,600
5. Step 5: Solve for x
   x = 11,185,177,600/55,432
6. Step 6: Final answer
   x = 201,781.96