Finding the Third Proportional to 105,280 and 214,789

Step by Step Solution

1. Step 1: Write the proportion equation
   105,280 : 214,789 = 214,789 : x
2. Step 2: Convert to fraction form
   105,280/214,789 = 214,789/x
3. Step 3: Cross multiply
   105,280x = 214,789 × 214,789
4. Step 4: Simplify right side
   105,280x = 46,134,314,521
5. Step 5: Solve for x
   x = 46,134,314,521/105,280
6. Step 6: Final answer
   x = 438,205.88