Finding the Third Proportional to 343,788 and 516,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,788 : 516,328.50 = 516,328.50 : x
2. Step 2: Convert to fraction form
   343,788/516,328.50 = 516,328.50/x
3. Step 3: Cross multiply
   343,788x = 516,328.50 × 516,328.50
4. Step 4: Simplify right side
   343,788x = 266,595,119,912.25
5. Step 5: Solve for x
   x = 266,595,119,912.25/343,788
6. Step 6: Final answer
   x = 775,463.72