Finding the Third Proportional to 105,740 and 145,000

Step by Step Solution

1. Step 1: Write the proportion equation
   105,740 : 145,000 = 145,000 : x
2. Step 2: Convert to fraction form
   105,740/145,000 = 145,000/x
3. Step 3: Cross multiply
   105,740x = 145,000 × 145,000
4. Step 4: Simplify right side
   105,740x = 21,025,000,000
5. Step 5: Solve for x
   x = 21,025,000,000/105,740
6. Step 6: Final answer
   x = 198,836.77