Finding the Third Proportional to 65,466 and 103,828

Step by Step Solution

1. Step 1: Write the proportion equation
   65,466 : 103,828 = 103,828 : x
2. Step 2: Convert to fraction form
   65,466/103,828 = 103,828/x
3. Step 3: Cross multiply
   65,466x = 103,828 × 103,828
4. Step 4: Simplify right side
   65,466x = 10,780,253,584
5. Step 5: Solve for x
   x = 10,780,253,584/65,466
6. Step 6: Final answer
   x = 164,669.50