Finding the Third Proportional to 105,597 and 214,860.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,597 : 214,860.75 = 214,860.75 : x
2. Step 2: Convert to fraction form
   105,597/214,860.75 = 214,860.75/x
3. Step 3: Cross multiply
   105,597x = 214,860.75 × 214,860.75
4. Step 4: Simplify right side
   105,597x = 46,165,141,890.56
5. Step 5: Solve for x
   x = 46,165,141,890.56/105,597
6. Step 6: Final answer
   x = 437,182.32