Finding the Third Proportional to 184,896 and 378,553.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,896 : 378,553.50 = 378,553.50 : x
2. Step 2: Convert to fraction form
   184,896/378,553.50 = 378,553.50/x
3. Step 3: Cross multiply
   184,896x = 378,553.50 × 378,553.50
4. Step 4: Simplify right side
   184,896x = 143,302,752,362.25
5. Step 5: Solve for x
   x = 143,302,752,362.25/184,896
6. Step 6: Final answer
   x = 775,045.17