Finding the Third Proportional to 412,308 and 588,030

Step by Step Solution

1. Step 1: Write the proportion equation
   412,308 : 588,030 = 588,030 : x
2. Step 2: Convert to fraction form
   412,308/588,030 = 588,030/x
3. Step 3: Cross multiply
   412,308x = 588,030 × 588,030
4. Step 4: Simplify right side
   412,308x = 345,779,280,900
5. Step 5: Solve for x
   x = 345,779,280,900/412,308
6. Step 6: Final answer
   x = 838,643.15