Finding the Third Proportional to 46,685.25 and 100,782

Step by Step Solution

1. Step 1: Write the proportion equation
   46,685.25 : 100,782 = 100,782 : x
2. Step 2: Convert to fraction form
   46,685.25/100,782 = 100,782/x
3. Step 3: Cross multiply
   46,685.25x = 100,782 × 100,782
4. Step 4: Simplify right side
   46,685.25x = 10,157,011,524
5. Step 5: Solve for x
   x = 10,157,011,524/46,685.25
6. Step 6: Final answer
   x = 217,563.61