Finding the Third Proportional to 256,756 and 554,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,756 : 554,110.50 = 554,110.50 : x
2. Step 2: Convert to fraction form
   256,756/554,110.50 = 554,110.50/x
3. Step 3: Cross multiply
   256,756x = 554,110.50 × 554,110.50
4. Step 4: Simplify right side
   256,756x = 307,038,446,210.25
5. Step 5: Solve for x
   x = 307,038,446,210.25/256,756
6. Step 6: Final answer
   x = 1,195,837.47