Finding the Third Proportional to 184,971 and 276,949.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,971 : 276,949.50 = 276,949.50 : x
2. Step 2: Convert to fraction form
   184,971/276,949.50 = 276,949.50/x
3. Step 3: Cross multiply
   184,971x = 276,949.50 × 276,949.50
4. Step 4: Simplify right side
   184,971x = 76,701,025,550.25
5. Step 5: Solve for x
   x = 76,701,025,550.25/184,971
6. Step 6: Final answer
   x = 414,665.14