Finding the Third Proportional to 222,584 and 524,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,584 : 524,909.50 = 524,909.50 : x
2. Step 2: Convert to fraction form
   222,584/524,909.50 = 524,909.50/x
3. Step 3: Cross multiply
   222,584x = 524,909.50 × 524,909.50
4. Step 4: Simplify right side
   222,584x = 275,529,983,190.25
5. Step 5: Solve for x
   x = 275,529,983,190.25/222,584
6. Step 6: Final answer
   x = 1,237,869.67