Finding the Third Proportional to 184,968 and 277,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,968 : 277,477.50 = 277,477.50 : x
2. Step 2: Convert to fraction form
   184,968/277,477.50 = 277,477.50/x
3. Step 3: Cross multiply
   184,968x = 277,477.50 × 277,477.50
4. Step 4: Simplify right side
   184,968x = 76,993,763,006.25
5. Step 5: Solve for x
   x = 76,993,763,006.25/184,968
6. Step 6: Final answer
   x = 416,254.50