Finding the Third Proportional to 200,722 and 302,784

Step by Step Solution

1. Step 1: Write the proportion equation
   200,722 : 302,784 = 302,784 : x
2. Step 2: Convert to fraction form
   200,722/302,784 = 302,784/x
3. Step 3: Cross multiply
   200,722x = 302,784 × 302,784
4. Step 4: Simplify right side
   200,722x = 91,678,150,656
5. Step 5: Solve for x
   x = 91,678,150,656/200,722
6. Step 6: Final answer
   x = 456,741.91