Finding the Third Proportional to 65,466 and 100,683

Step by Step Solution

1. Step 1: Write the proportion equation
   65,466 : 100,683 = 100,683 : x
2. Step 2: Convert to fraction form
   65,466/100,683 = 100,683/x
3. Step 3: Cross multiply
   65,466x = 100,683 × 100,683
4. Step 4: Simplify right side
   65,466x = 10,137,066,489
5. Step 5: Solve for x
   x = 10,137,066,489/65,466
6. Step 6: Final answer
   x = 154,844.75