Finding the Third Proportional to 146,520 and 222,588

Step by Step Solution

1. Step 1: Write the proportion equation
   146,520 : 222,588 = 222,588 : x
2. Step 2: Convert to fraction form
   146,520/222,588 = 222,588/x
3. Step 3: Cross multiply
   146,520x = 222,588 × 222,588
4. Step 4: Simplify right side
   146,520x = 49,545,417,744
5. Step 5: Solve for x
   x = 49,545,417,744/146,520
6. Step 6: Final answer
   x = 338,147.81