Finding the Third Proportional to 105,648.25 and 229,210

Step by Step Solution

1. Step 1: Write the proportion equation
   105,648.25 : 229,210 = 229,210 : x
2. Step 2: Convert to fraction form
   105,648.25/229,210 = 229,210/x
3. Step 3: Cross multiply
   105,648.25x = 229,210 × 229,210
4. Step 4: Simplify right side
   105,648.25x = 52,537,224,100
5. Step 5: Solve for x
   x = 52,537,224,100/105,648.25
6. Step 6: Final answer
   x = 497,284.38