Finding the Third Proportional to 256,116 and 375,870

Step by Step Solution

1. Step 1: Write the proportion equation
   256,116 : 375,870 = 375,870 : x
2. Step 2: Convert to fraction form
   256,116/375,870 = 375,870/x
3. Step 3: Cross multiply
   256,116x = 375,870 × 375,870
4. Step 4: Simplify right side
   256,116x = 141,278,256,900
5. Step 5: Solve for x
   x = 141,278,256,900/256,116
6. Step 6: Final answer
   x = 551,618.24