Finding the Third Proportional to 55,725 and 108,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,725 : 108,659.50 = 108,659.50 : x
2. Step 2: Convert to fraction form
   55,725/108,659.50 = 108,659.50/x
3. Step 3: Cross multiply
   55,725x = 108,659.50 × 108,659.50
4. Step 4: Simplify right side
   55,725x = 11,806,886,940.25
5. Step 5: Solve for x
   x = 11,806,886,940.25/55,725
6. Step 6: Final answer
   x = 211,877.74