Finding the Third Proportional to 222,849 and 334,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,849 : 334,327.50 = 334,327.50 : x
2. Step 2: Convert to fraction form
   222,849/334,327.50 = 334,327.50/x
3. Step 3: Cross multiply
   222,849x = 334,327.50 × 334,327.50
4. Step 4: Simplify right side
   222,849x = 111,774,877,256.25
5. Step 5: Solve for x
   x = 111,774,877,256.25/222,849
6. Step 6: Final answer
   x = 501,572.26