Finding the Third Proportional to 184,955.50 and 397,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   184,955.50 : 397,978.50 = 397,978.50 : x
2. Step 2: Convert to fraction form
   184,955.50/397,978.50 = 397,978.50/x
3. Step 3: Cross multiply
   184,955.50x = 397,978.50 × 397,978.50
4. Step 4: Simplify right side
   184,955.50x = 158,386,886,462.25
5. Step 5: Solve for x
   x = 158,386,886,462.25/184,955.50
6. Step 6: Final answer
   x = 856,351.32