Finding the Third Proportional to 104,780 and 214,401.75

Step by Step Solution

1. Step 1: Write the proportion equation
   104,780 : 214,401.75 = 214,401.75 : x
2. Step 2: Convert to fraction form
   104,780/214,401.75 = 214,401.75/x
3. Step 3: Cross multiply
   104,780x = 214,401.75 × 214,401.75
4. Step 4: Simplify right side
   104,780x = 45,968,110,403.06
5. Step 5: Solve for x
   x = 45,968,110,403.06/104,780
6. Step 6: Final answer
   x = 438,710.73