Finding the Third Proportional to 150,921 and 221,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,921 : 221,194.50 = 221,194.50 : x
2. Step 2: Convert to fraction form
   150,921/221,194.50 = 221,194.50/x
3. Step 3: Cross multiply
   150,921x = 221,194.50 × 221,194.50
4. Step 4: Simplify right side
   150,921x = 48,927,006,830.25
5. Step 5: Solve for x
   x = 48,927,006,830.25/150,921
6. Step 6: Final answer
   x = 324,189.52