Finding the Third Proportional to 53,109 and 108,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,109 : 108,667.50 = 108,667.50 : x
2. Step 2: Convert to fraction form
   53,109/108,667.50 = 108,667.50/x
3. Step 3: Cross multiply
   53,109x = 108,667.50 × 108,667.50
4. Step 4: Simplify right side
   53,109x = 11,808,625,556.25
5. Step 5: Solve for x
   x = 11,808,625,556.25/53,109
6. Step 6: Final answer
   x = 222,346.98