Finding the Third Proportional to 180,570 and 384,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,570 : 384,469.50 = 384,469.50 : x
2. Step 2: Convert to fraction form
   180,570/384,469.50 = 384,469.50/x
3. Step 3: Cross multiply
   180,570x = 384,469.50 × 384,469.50
4. Step 4: Simplify right side
   180,570x = 147,816,796,430.25
5. Step 5: Solve for x
   x = 147,816,796,430.25/180,570
6. Step 6: Final answer
   x = 818,612.15