Finding the Third Proportional to 222,753 and 365,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,753 : 365,682.50 = 365,682.50 : x
2. Step 2: Convert to fraction form
   222,753/365,682.50 = 365,682.50/x
3. Step 3: Cross multiply
   222,753x = 365,682.50 × 365,682.50
4. Step 4: Simplify right side
   222,753x = 133,723,690,806.25
5. Step 5: Solve for x
   x = 133,723,690,806.25/222,753
6. Step 6: Final answer
   x = 600,322.74