Finding the Third Proportional to 65,234 and 103,683

Step by Step Solution

1. Step 1: Write the proportion equation
   65,234 : 103,683 = 103,683 : x
2. Step 2: Convert to fraction form
   65,234/103,683 = 103,683/x
3. Step 3: Cross multiply
   65,234x = 103,683 × 103,683
4. Step 4: Simplify right side
   65,234x = 10,750,164,489
5. Step 5: Solve for x
   x = 10,750,164,489/65,234
6. Step 6: Final answer
   x = 164,793.89