Finding the Third Proportional to 184,288.50 and 277,731

Step by Step Solution

1. Step 1: Write the proportion equation
   184,288.50 : 277,731 = 277,731 : x
2. Step 2: Convert to fraction form
   184,288.50/277,731 = 277,731/x
3. Step 3: Cross multiply
   184,288.50x = 277,731 × 277,731
4. Step 4: Simplify right side
   184,288.50x = 77,134,508,361
5. Step 5: Solve for x
   x = 77,134,508,361/184,288.50
6. Step 6: Final answer
   x = 418,553.02