Finding the Third Proportional to 184,578 and 284,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,578 : 284,656.50 = 284,656.50 : x
2. Step 2: Convert to fraction form
   184,578/284,656.50 = 284,656.50/x
3. Step 3: Cross multiply
   184,578x = 284,656.50 × 284,656.50
4. Step 4: Simplify right side
   184,578x = 81,029,322,992.25
5. Step 5: Solve for x
   x = 81,029,322,992.25/184,578
6. Step 6: Final answer
   x = 438,997.73