Finding the Third Proportional to 65,780.44 and 102,520.69

Step by Step Solution

1. Step 1: Write the proportion equation
   65,780.44 : 102,520.69 = 102,520.69 : x
2. Step 2: Convert to fraction form
   65,780.44/102,520.69 = 102,520.69/x
3. Step 3: Cross multiply
   65,780.44x = 102,520.69 × 102,520.69
4. Step 4: Simplify right side
   65,780.44x = 10,510,491,365.47
5. Step 5: Solve for x
   x = 10,510,491,365.47/65,780.44
6. Step 6: Final answer
   x = 159,781.41