Finding the Third Proportional to 222,057 and 338,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,057 : 338,611.50 = 338,611.50 : x
2. Step 2: Convert to fraction form
   222,057/338,611.50 = 338,611.50/x
3. Step 3: Cross multiply
   222,057x = 338,611.50 × 338,611.50
4. Step 4: Simplify right side
   222,057x = 114,657,747,932.25
5. Step 5: Solve for x
   x = 114,657,747,932.25/222,057
6. Step 6: Final answer
   x = 516,343.77