Finding the Third Proportional to 249,814 and 380,970

Step by Step Solution

1. Step 1: Write the proportion equation
   249,814 : 380,970 = 380,970 : x
2. Step 2: Convert to fraction form
   249,814/380,970 = 380,970/x
3. Step 3: Cross multiply
   249,814x = 380,970 × 380,970
4. Step 4: Simplify right side
   249,814x = 145,138,140,900
5. Step 5: Solve for x
   x = 145,138,140,900/249,814
6. Step 6: Final answer
   x = 580,984.82