Finding the Third Proportional to 105,597 and 214,862.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,597 : 214,862.25 = 214,862.25 : x
2. Step 2: Convert to fraction form
   105,597/214,862.25 = 214,862.25/x
3. Step 3: Cross multiply
   105,597x = 214,862.25 × 214,862.25
4. Step 4: Simplify right side
   105,597x = 46,165,786,475.06
5. Step 5: Solve for x
   x = 46,165,786,475.06/105,597
6. Step 6: Final answer
   x = 437,188.43