Finding the Third Proportional to 161,223 and 254,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   161,223 : 254,200.50 = 254,200.50 : x
2. Step 2: Convert to fraction form
   161,223/254,200.50 = 254,200.50/x
3. Step 3: Cross multiply
   161,223x = 254,200.50 × 254,200.50
4. Step 4: Simplify right side
   161,223x = 64,617,894,200.25
5. Step 5: Solve for x
   x = 64,617,894,200.25/161,223
6. Step 6: Final answer
   x = 400,798.24