Finding the Third Proportional to 343,605 and 516,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,605 : 516,055.50 = 516,055.50 : x
2. Step 2: Convert to fraction form
   343,605/516,055.50 = 516,055.50/x
3. Step 3: Cross multiply
   343,605x = 516,055.50 × 516,055.50
4. Step 4: Simplify right side
   343,605x = 266,313,279,080.25
5. Step 5: Solve for x
   x = 266,313,279,080.25/343,605
6. Step 6: Final answer
   x = 775,056.47