Finding the Third Proportional to 345,561 and 515,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   345,561 : 515,674.50 = 515,674.50 : x
2. Step 2: Convert to fraction form
   345,561/515,674.50 = 515,674.50/x
3. Step 3: Cross multiply
   345,561x = 515,674.50 × 515,674.50
4. Step 4: Simplify right side
   345,561x = 265,920,189,950.25
5. Step 5: Solve for x
   x = 265,920,189,950.25/345,561
6. Step 6: Final answer
   x = 769,531.83