Finding the Third Proportional to 384,469.50 and 591,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,469.50 : 591,763.50 = 591,763.50 : x
2. Step 2: Convert to fraction form
   384,469.50/591,763.50 = 591,763.50/x
3. Step 3: Cross multiply
   384,469.50x = 591,763.50 × 591,763.50
4. Step 4: Simplify right side
   384,469.50x = 350,184,039,932.25
5. Step 5: Solve for x
   x = 350,184,039,932.25/384,469.50
6. Step 6: Final answer
   x = 910,823.98