Finding the Third Proportional to 355,518 and 777,549.75

Step by Step Solution

1. Step 1: Write the proportion equation
   355,518 : 777,549.75 = 777,549.75 : x
2. Step 2: Convert to fraction form
   355,518/777,549.75 = 777,549.75/x
3. Step 3: Cross multiply
   355,518x = 777,549.75 × 777,549.75
4. Step 4: Simplify right side
   355,518x = 604,583,613,725.06
5. Step 5: Solve for x
   x = 604,583,613,725.06/355,518
6. Step 6: Final answer
   x = 1,700,571.04