Finding the Third Proportional to 48,561 and 105,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,561 : 105,667.50 = 105,667.50 : x
2. Step 2: Convert to fraction form
   48,561/105,667.50 = 105,667.50/x
3. Step 3: Cross multiply
   48,561x = 105,667.50 × 105,667.50
4. Step 4: Simplify right side
   48,561x = 11,165,620,556.25
5. Step 5: Solve for x
   x = 11,165,620,556.25/48,561
6. Step 6: Final answer
   x = 229,929.79