Finding the Third Proportional to 361,141.50 and 777,783

Step by Step Solution

1. Step 1: Write the proportion equation
   361,141.50 : 777,783 = 777,783 : x
2. Step 2: Convert to fraction form
   361,141.50/777,783 = 777,783/x
3. Step 3: Cross multiply
   361,141.50x = 777,783 × 777,783
4. Step 4: Simplify right side
   361,141.50x = 604,946,395,089
5. Step 5: Solve for x
   x = 604,946,395,089/361,141.50
6. Step 6: Final answer
   x = 1,675,095.21