Finding the Third Proportional to 55,809 and 121,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,809 : 121,054.50 = 121,054.50 : x
2. Step 2: Convert to fraction form
   55,809/121,054.50 = 121,054.50/x
3. Step 3: Cross multiply
   55,809x = 121,054.50 × 121,054.50
4. Step 4: Simplify right side
   55,809x = 14,654,191,970.25
5. Step 5: Solve for x
   x = 14,654,191,970.25/55,809
6. Step 6: Final answer
   x = 262,577.58