Finding the Third Proportional to 55,860 and 121,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,860 : 121,546.50 = 121,546.50 : x
2. Step 2: Convert to fraction form
   55,860/121,546.50 = 121,546.50/x
3. Step 3: Cross multiply
   55,860x = 121,546.50 × 121,546.50
4. Step 4: Simplify right side
   55,860x = 14,773,551,662.25
5. Step 5: Solve for x
   x = 14,773,551,662.25/55,860
6. Step 6: Final answer
   x = 264,474.61