Finding the Third Proportional to 222,896 and 434,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,896 : 434,628.50 = 434,628.50 : x
2. Step 2: Convert to fraction form
   222,896/434,628.50 = 434,628.50/x
3. Step 3: Cross multiply
   222,896x = 434,628.50 × 434,628.50
4. Step 4: Simplify right side
   222,896x = 188,901,933,012.25
5. Step 5: Solve for x
   x = 188,901,933,012.25/222,896
6. Step 6: Final answer
   x = 847,489.11