Finding the Third Proportional to 256,770 and 506,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,770 : 506,614.50 = 506,614.50 : x
2. Step 2: Convert to fraction form
   256,770/506,614.50 = 506,614.50/x
3. Step 3: Cross multiply
   256,770x = 506,614.50 × 506,614.50
4. Step 4: Simplify right side
   256,770x = 256,658,251,610.25
5. Step 5: Solve for x
   x = 256,658,251,610.25/256,770
6. Step 6: Final answer
   x = 999,564.79