Finding the Third Proportional to 105,546 and 215,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,546 : 215,389.50 = 215,389.50 : x
2. Step 2: Convert to fraction form
   105,546/215,389.50 = 215,389.50/x
3. Step 3: Cross multiply
   105,546x = 215,389.50 × 215,389.50
4. Step 4: Simplify right side
   105,546x = 46,392,636,710.25
5. Step 5: Solve for x
   x = 46,392,636,710.25/105,546
6. Step 6: Final answer
   x = 439,548.98