Finding the Third Proportional to 105,537.50 and 222,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,537.50 : 222,008.50 = 222,008.50 : x
2. Step 2: Convert to fraction form
   105,537.50/222,008.50 = 222,008.50/x
3. Step 3: Cross multiply
   105,537.50x = 222,008.50 × 222,008.50
4. Step 4: Simplify right side
   105,537.50x = 49,287,774,072.25
5. Step 5: Solve for x
   x = 49,287,774,072.25/105,537.50
6. Step 6: Final answer
   x = 467,016.69