Finding the Third Proportional to 345,243 and 516,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   345,243 : 516,424.50 = 516,424.50 : x
2. Step 2: Convert to fraction form
   345,243/516,424.50 = 516,424.50/x
3. Step 3: Cross multiply
   345,243x = 516,424.50 × 516,424.50
4. Step 4: Simplify right side
   345,243x = 266,694,264,200.25
5. Step 5: Solve for x
   x = 266,694,264,200.25/345,243
6. Step 6: Final answer
   x = 772,482.76