Finding the Third Proportional to 194,811 and 263,992.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,811 : 263,992.50 = 263,992.50 : x
2. Step 2: Convert to fraction form
   194,811/263,992.50 = 263,992.50/x
3. Step 3: Cross multiply
   194,811x = 263,992.50 × 263,992.50
4. Step 4: Simplify right side
   194,811x = 69,692,040,056.25
5. Step 5: Solve for x
   x = 69,692,040,056.25/194,811
6. Step 6: Final answer
   x = 357,741.81