Finding the Third Proportional to 184,963.50 and 277,470

Step by Step Solution

1. Step 1: Write the proportion equation
   184,963.50 : 277,470 = 277,470 : x
2. Step 2: Convert to fraction form
   184,963.50/277,470 = 277,470/x
3. Step 3: Cross multiply
   184,963.50x = 277,470 × 277,470
4. Step 4: Simplify right side
   184,963.50x = 76,989,600,900
5. Step 5: Solve for x
   x = 76,989,600,900/184,963.50
6. Step 6: Final answer
   x = 416,242.13