Finding the Third Proportional to 123,151.50 and 184,851

Step by Step Solution

1. Step 1: Write the proportion equation
   123,151.50 : 184,851 = 184,851 : x
2. Step 2: Convert to fraction form
   123,151.50/184,851 = 184,851/x
3. Step 3: Cross multiply
   123,151.50x = 184,851 × 184,851
4. Step 4: Simplify right side
   123,151.50x = 34,169,892,201
5. Step 5: Solve for x
   x = 34,169,892,201/123,151.50
6. Step 6: Final answer
   x = 277,462.25