Finding the Third Proportional to 123,106.50 and 184,781.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,106.50 : 184,781.25 = 184,781.25 : x
2. Step 2: Convert to fraction form
   123,106.50/184,781.25 = 184,781.25/x
3. Step 3: Cross multiply
   123,106.50x = 184,781.25 × 184,781.25
4. Step 4: Simplify right side
   123,106.50x = 34,144,110,351.56
5. Step 5: Solve for x
   x = 34,144,110,351.56/123,106.50
6. Step 6: Final answer
   x = 277,354.24