Finding the Third Proportional to 150,822 and 224,181.75

Step by Step Solution

1. Step 1: Write the proportion equation
   150,822 : 224,181.75 = 224,181.75 : x
2. Step 2: Convert to fraction form
   150,822/224,181.75 = 224,181.75/x
3. Step 3: Cross multiply
   150,822x = 224,181.75 × 224,181.75
4. Step 4: Simplify right side
   150,822x = 50,257,457,033.06
5. Step 5: Solve for x
   x = 50,257,457,033.06/150,822
6. Step 6: Final answer
   x = 333,223.65