Finding the Third Proportional to 222,385 and 327,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,385 : 327,695.50 = 327,695.50 : x
2. Step 2: Convert to fraction form
   222,385/327,695.50 = 327,695.50/x
3. Step 3: Cross multiply
   222,385x = 327,695.50 × 327,695.50
4. Step 4: Simplify right side
   222,385x = 107,384,340,720.25
5. Step 5: Solve for x
   x = 107,384,340,720.25/222,385
6. Step 6: Final answer
   x = 482,875.83