Finding the Third Proportional to 184,642.50 and 276,648

Step by Step Solution

1. Step 1: Write the proportion equation
   184,642.50 : 276,648 = 276,648 : x
2. Step 2: Convert to fraction form
   184,642.50/276,648 = 276,648/x
3. Step 3: Cross multiply
   184,642.50x = 276,648 × 276,648
4. Step 4: Simplify right side
   184,642.50x = 76,534,115,904
5. Step 5: Solve for x
   x = 76,534,115,904/184,642.50
6. Step 6: Final answer
   x = 414,498.91