Finding the Third Proportional to 369,585 and 514,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   369,585 : 514,924.50 = 514,924.50 : x
2. Step 2: Convert to fraction form
   369,585/514,924.50 = 514,924.50/x
3. Step 3: Cross multiply
   369,585x = 514,924.50 × 514,924.50
4. Step 4: Simplify right side
   369,585x = 265,147,240,700.25
5. Step 5: Solve for x
   x = 265,147,240,700.25/369,585
6. Step 6: Final answer
   x = 717,418.84