Finding the Third Proportional to 256,980 and 607,460

Step by Step Solution

1. Step 1: Write the proportion equation
   256,980 : 607,460 = 607,460 : x
2. Step 2: Convert to fraction form
   256,980/607,460 = 607,460/x
3. Step 3: Cross multiply
   256,980x = 607,460 × 607,460
4. Step 4: Simplify right side
   256,980x = 369,007,651,600
5. Step 5: Solve for x
   x = 369,007,651,600/256,980
6. Step 6: Final answer
   x = 1,435,939.18