Finding the Third Proportional to 65,193 and 103,620

Step by Step Solution

1. Step 1: Write the proportion equation
   65,193 : 103,620 = 103,620 : x
2. Step 2: Convert to fraction form
   65,193/103,620 = 103,620/x
3. Step 3: Cross multiply
   65,193x = 103,620 × 103,620
4. Step 4: Simplify right side
   65,193x = 10,737,104,400
5. Step 5: Solve for x
   x = 10,737,104,400/65,193
6. Step 6: Final answer
   x = 164,697.20