Finding the Third Proportional to 222,745 and 321,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,745 : 321,829.50 = 321,829.50 : x
2. Step 2: Convert to fraction form
   222,745/321,829.50 = 321,829.50/x
3. Step 3: Cross multiply
   222,745x = 321,829.50 × 321,829.50
4. Step 4: Simplify right side
   222,745x = 103,574,227,070.25
5. Step 5: Solve for x
   x = 103,574,227,070.25/222,745
6. Step 6: Final answer
   x = 464,990.13