Finding the Third Proportional to 256,693.50 and 340,659

Step by Step Solution

1. Step 1: Write the proportion equation
   256,693.50 : 340,659 = 340,659 : x
2. Step 2: Convert to fraction form
   256,693.50/340,659 = 340,659/x
3. Step 3: Cross multiply
   256,693.50x = 340,659 × 340,659
4. Step 4: Simplify right side
   256,693.50x = 116,048,554,281
5. Step 5: Solve for x
   x = 116,048,554,281/256,693.50
6. Step 6: Final answer
   x = 452,089.96