Finding the Third Proportional to 317,677 and 493,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   317,677 : 493,941.50 = 493,941.50 : x
2. Step 2: Convert to fraction form
   317,677/493,941.50 = 493,941.50/x
3. Step 3: Cross multiply
   317,677x = 493,941.50 × 493,941.50
4. Step 4: Simplify right side
   317,677x = 243,978,205,422.25
5. Step 5: Solve for x
   x = 243,978,205,422.25/317,677
6. Step 6: Final answer
   x = 768,007.14