Finding the Third Proportional to 200,322 and 408,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,322 : 408,064.50 = 408,064.50 : x
2. Step 2: Convert to fraction form
   200,322/408,064.50 = 408,064.50/x
3. Step 3: Cross multiply
   200,322x = 408,064.50 × 408,064.50
4. Step 4: Simplify right side
   200,322x = 166,516,636,160.25
5. Step 5: Solve for x
   x = 166,516,636,160.25/200,322
6. Step 6: Final answer
   x = 831,244.88