Finding the Third Proportional to 256,084.50 and 387,648

Step by Step Solution

1. Step 1: Write the proportion equation
   256,084.50 : 387,648 = 387,648 : x
2. Step 2: Convert to fraction form
   256,084.50/387,648 = 387,648/x
3. Step 3: Cross multiply
   256,084.50x = 387,648 × 387,648
4. Step 4: Simplify right side
   256,084.50x = 150,270,971,904
5. Step 5: Solve for x
   x = 150,270,971,904/256,084.50
6. Step 6: Final answer
   x = 586,802.29