Finding the Third Proportional to 45,697 and 105,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,697 : 105,890.50 = 105,890.50 : x
2. Step 2: Convert to fraction form
   45,697/105,890.50 = 105,890.50/x
3. Step 3: Cross multiply
   45,697x = 105,890.50 × 105,890.50
4. Step 4: Simplify right side
   45,697x = 11,212,797,990.25
5. Step 5: Solve for x
   x = 11,212,797,990.25/45,697
6. Step 6: Final answer
   x = 245,372.74