Finding the Third Proportional to 146,589 and 224,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,589 : 224,623.50 = 224,623.50 : x
2. Step 2: Convert to fraction form
   146,589/224,623.50 = 224,623.50/x
3. Step 3: Cross multiply
   146,589x = 224,623.50 × 224,623.50
4. Step 4: Simplify right side
   146,589x = 50,455,716,752.25
5. Step 5: Solve for x
   x = 50,455,716,752.25/146,589
6. Step 6: Final answer
   x = 344,198.52