Finding the Third Proportional to 317,577 and 493,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   317,577 : 493,861.50 = 493,861.50 : x
2. Step 2: Convert to fraction form
   317,577/493,861.50 = 493,861.50/x
3. Step 3: Cross multiply
   317,577x = 493,861.50 × 493,861.50
4. Step 4: Simplify right side
   317,577x = 243,899,181,182.25
5. Step 5: Solve for x
   x = 243,899,181,182.25/317,577
6. Step 6: Final answer
   x = 768,000.14