Finding the Third Proportional to 150,665.50 and 221,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,665.50 : 221,077.50 = 221,077.50 : x
2. Step 2: Convert to fraction form
   150,665.50/221,077.50 = 221,077.50/x
3. Step 3: Cross multiply
   150,665.50x = 221,077.50 × 221,077.50
4. Step 4: Simplify right side
   150,665.50x = 48,875,261,006.25
5. Step 5: Solve for x
   x = 48,875,261,006.25/150,665.50
6. Step 6: Final answer
   x = 324,395.84