Finding the Third Proportional to 120,765 and 284,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,765 : 284,155.50 = 284,155.50 : x
2. Step 2: Convert to fraction form
   120,765/284,155.50 = 284,155.50/x
3. Step 3: Cross multiply
   120,765x = 284,155.50 × 284,155.50
4. Step 4: Simplify right side
   120,765x = 80,744,348,180.25
5. Step 5: Solve for x
   x = 80,744,348,180.25/120,765
6. Step 6: Final answer
   x = 668,607.20