Finding the Third Proportional to 105,740 and 155,688

Step by Step Solution

1. Step 1: Write the proportion equation
   105,740 : 155,688 = 155,688 : x
2. Step 2: Convert to fraction form
   105,740/155,688 = 155,688/x
3. Step 3: Cross multiply
   105,740x = 155,688 × 155,688
4. Step 4: Simplify right side
   105,740x = 24,238,753,344
5. Step 5: Solve for x
   x = 24,238,753,344/105,740
6. Step 6: Final answer
   x = 229,229.75