Finding the Third Proportional to 359,881.50 and 769,578

Step by Step Solution

1. Step 1: Write the proportion equation
   359,881.50 : 769,578 = 769,578 : x
2. Step 2: Convert to fraction form
   359,881.50/769,578 = 769,578/x
3. Step 3: Cross multiply
   359,881.50x = 769,578 × 769,578
4. Step 4: Simplify right side
   359,881.50x = 592,250,298,084
5. Step 5: Solve for x
   x = 592,250,298,084/359,881.50
6. Step 6: Final answer
   x = 1,645,681.42