Finding the Third Proportional to 184,851 and 378,443.25

Step by Step Solution

1. Step 1: Write the proportion equation
   184,851 : 378,443.25 = 378,443.25 : x
2. Step 2: Convert to fraction form
   184,851/378,443.25 = 378,443.25/x
3. Step 3: Cross multiply
   184,851x = 378,443.25 × 378,443.25
4. Step 4: Simplify right side
   184,851x = 143,219,293,470.56
5. Step 5: Solve for x
   x = 143,219,293,470.56/184,851
6. Step 6: Final answer
   x = 774,782.36