Finding the Third Proportional to 65,193 and 103,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,193 : 103,621.50 = 103,621.50 : x
2. Step 2: Convert to fraction form
   65,193/103,621.50 = 103,621.50/x
3. Step 3: Cross multiply
   65,193x = 103,621.50 × 103,621.50
4. Step 4: Simplify right side
   65,193x = 10,737,415,262.25
5. Step 5: Solve for x
   x = 10,737,415,262.25/65,193
6. Step 6: Final answer
   x = 164,701.97