Finding the Third Proportional to 184,562 and 263,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,562 : 263,923.50 = 263,923.50 : x
2. Step 2: Convert to fraction form
   184,562/263,923.50 = 263,923.50/x
3. Step 3: Cross multiply
   184,562x = 263,923.50 × 263,923.50
4. Step 4: Simplify right side
   184,562x = 69,655,613,852.25
5. Step 5: Solve for x
   x = 69,655,613,852.25/184,562
6. Step 6: Final answer
   x = 377,410.38