Finding the Third Proportional to 120,785 and 284,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,785 : 284,200.50 = 284,200.50 : x
2. Step 2: Convert to fraction form
   120,785/284,200.50 = 284,200.50/x
3. Step 3: Cross multiply
   120,785x = 284,200.50 × 284,200.50
4. Step 4: Simplify right side
   120,785x = 80,769,924,200.25
5. Step 5: Solve for x
   x = 80,769,924,200.25/120,785
6. Step 6: Final answer
   x = 668,708.24