Finding the Third Proportional to 198,921 and 407,033.25

Step by Step Solution

1. Step 1: Write the proportion equation
   198,921 : 407,033.25 = 407,033.25 : x
2. Step 2: Convert to fraction form
   198,921/407,033.25 = 407,033.25/x
3. Step 3: Cross multiply
   198,921x = 407,033.25 × 407,033.25
4. Step 4: Simplify right side
   198,921x = 165,676,066,605.56
5. Step 5: Solve for x
   x = 165,676,066,605.56/198,921
6. Step 6: Final answer
   x = 832,873.69