Finding the Third Proportional to 256,741.50 and 547,830

Step by Step Solution

1. Step 1: Write the proportion equation
   256,741.50 : 547,830 = 547,830 : x
2. Step 2: Convert to fraction form
   256,741.50/547,830 = 547,830/x
3. Step 3: Cross multiply
   256,741.50x = 547,830 × 547,830
4. Step 4: Simplify right side
   256,741.50x = 300,117,708,900
5. Step 5: Solve for x
   x = 300,117,708,900/256,741.50
6. Step 6: Final answer
   x = 1,168,948.96