Finding the Third Proportional to 290,084 and 615,016

Step by Step Solution

1. Step 1: Write the proportion equation
   290,084 : 615,016 = 615,016 : x
2. Step 2: Convert to fraction form
   290,084/615,016 = 615,016/x
3. Step 3: Cross multiply
   290,084x = 615,016 × 615,016
4. Step 4: Simplify right side
   290,084x = 378,244,680,256
5. Step 5: Solve for x
   x = 378,244,680,256/290,084
6. Step 6: Final answer
   x = 1,303,914.32