Finding the Third Proportional to 150,563 and 221,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,563 : 221,689.50 = 221,689.50 : x
2. Step 2: Convert to fraction form
   150,563/221,689.50 = 221,689.50/x
3. Step 3: Cross multiply
   150,563x = 221,689.50 × 221,689.50
4. Step 4: Simplify right side
   150,563x = 49,146,234,410.25
5. Step 5: Solve for x
   x = 49,146,234,410.25/150,563
6. Step 6: Final answer
   x = 326,416.41