Finding the Third Proportional to 384,822 and 603,663.75

Step by Step Solution

1. Step 1: Write the proportion equation
   384,822 : 603,663.75 = 603,663.75 : x
2. Step 2: Convert to fraction form
   384,822/603,663.75 = 603,663.75/x
3. Step 3: Cross multiply
   384,822x = 603,663.75 × 603,663.75
4. Step 4: Simplify right side
   384,822x = 364,409,923,064.06
5. Step 5: Solve for x
   x = 364,409,923,064.06/384,822
6. Step 6: Final answer
   x = 946,957.09