Finding the Third Proportional to 200,429 and 308,204

Step by Step Solution

1. Step 1: Write the proportion equation
   200,429 : 308,204 = 308,204 : x
2. Step 2: Convert to fraction form
   200,429/308,204 = 308,204/x
3. Step 3: Cross multiply
   200,429x = 308,204 × 308,204
4. Step 4: Simplify right side
   200,429x = 94,989,705,616
5. Step 5: Solve for x
   x = 94,989,705,616/200,429
6. Step 6: Final answer
   x = 473,931.94