Finding the Third Proportional to 144,186 and 309,180

Step by Step Solution

1. Step 1: Write the proportion equation
   144,186 : 309,180 = 309,180 : x
2. Step 2: Convert to fraction form
   144,186/309,180 = 309,180/x
3. Step 3: Cross multiply
   144,186x = 309,180 × 309,180
4. Step 4: Simplify right side
   144,186x = 95,592,272,400
5. Step 5: Solve for x
   x = 95,592,272,400/144,186
6. Step 6: Final answer
   x = 662,978.88