Finding the Third Proportional to 54,938 and 105,500

Step by Step Solution

1. Step 1: Write the proportion equation
   54,938 : 105,500 = 105,500 : x
2. Step 2: Convert to fraction form
   54,938/105,500 = 105,500/x
3. Step 3: Cross multiply
   54,938x = 105,500 × 105,500
4. Step 4: Simplify right side
   54,938x = 11,130,250,000
5. Step 5: Solve for x
   x = 11,130,250,000/54,938
6. Step 6: Final answer
   x = 202,596.56