Finding the Third Proportional to 317,669 and 493,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   317,669 : 493,927.50 = 493,927.50 : x
2. Step 2: Convert to fraction form
   317,669/493,927.50 = 493,927.50/x
3. Step 3: Cross multiply
   317,669x = 493,927.50 × 493,927.50
4. Step 4: Simplify right side
   317,669x = 243,964,375,256.25
5. Step 5: Solve for x
   x = 243,964,375,256.25/317,669
6. Step 6: Final answer
   x = 767,982.95